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Finding the Fourth Proportional to 155.45, 214.35 and 106.36

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Solution

The fourth proportional to 155.45, 214.35 and 106.36 is: 146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.45 : 214.35 = 106.36 : x
  2. Step 2: Convert to fraction form
    155.45/214.35 = 106.36/x
  3. Step 3: Cross multiply
    155.45x = 214.35 × 106.36
  4. Step 4: Simplify right side
    155.45x = 22,798.27
  5. Step 5: Solve for x
    x = 22,798.27/155.45
  6. Step 6: Final answer
    x = 146.66

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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.