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Finding the Fourth Proportional to 155.48, 214.70 and 106.50

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Solution

The fourth proportional to 155.48, 214.70 and 106.50 is: 147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.48 : 214.70 = 106.50 : x
  2. Step 2: Convert to fraction form
    155.48/214.70 = 106.50/x
  3. Step 3: Cross multiply
    155.48x = 214.70 × 106.50
  4. Step 4: Simplify right side
    155.48x = 22,865.02
  5. Step 5: Solve for x
    x = 22,865.02/155.48
  6. Step 6: Final answer
    x = 147.06

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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.