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Finding the Fourth Proportional to 155.70, 214.78 and 106.50

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Solution

The fourth proportional to 155.70, 214.78 and 106.50 is: 146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.70 : 214.78 = 106.50 : x
  2. Step 2: Convert to fraction form
    155.70/214.78 = 106.50/x
  3. Step 3: Cross multiply
    155.70x = 214.78 × 106.50
  4. Step 4: Simplify right side
    155.70x = 22,874.07
  5. Step 5: Solve for x
    x = 22,874.07/155.70
  6. Step 6: Final answer
    x = 146.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.