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Finding the Fourth Proportional to 155.32, 232.89 and 74.14

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Solution

The fourth proportional to 155.32, 232.89 and 74.14 is: 111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.32 : 232.89 = 74.14 : x
  2. Step 2: Convert to fraction form
    155.32/232.89 = 74.14/x
  3. Step 3: Cross multiply
    155.32x = 232.89 × 74.14
  4. Step 4: Simplify right side
    155.32x = 17,266.46
  5. Step 5: Solve for x
    x = 17,266.46/155.32
  6. Step 6: Final answer
    x = 111.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.