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Finding the Fourth Proportional to 60.10, 89.66 and 55.74

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Solution

The fourth proportional to 60.10, 89.66 and 55.74 is: 83.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.10 : 89.66 = 55.74 : x
  2. Step 2: Convert to fraction form
    60.10/89.66 = 55.74/x
  3. Step 3: Cross multiply
    60.10x = 89.66 × 55.74
  4. Step 4: Simplify right side
    60.10x = 4,997.65
  5. Step 5: Solve for x
    x = 4,997.65/60.10
  6. Step 6: Final answer
    x = 83.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.