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Finding the Fourth Proportional to 60.14, 89.71 and 53.66

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Solution

The fourth proportional to 60.14, 89.71 and 53.66 is: 80.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.14 : 89.71 = 53.66 : x
  2. Step 2: Convert to fraction form
    60.14/89.71 = 53.66/x
  3. Step 3: Cross multiply
    60.14x = 89.71 × 53.66
  4. Step 4: Simplify right side
    60.14x = 4,813.93
  5. Step 5: Solve for x
    x = 4,813.93/60.14
  6. Step 6: Final answer
    x = 80.04

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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.