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Finding the Fourth Proportional to 62.68, 93.48 and 54.16

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Solution

The fourth proportional to 62.68, 93.48 and 54.16 is: 80.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.68 : 93.48 = 54.16 : x
  2. Step 2: Convert to fraction form
    62.68/93.48 = 54.16/x
  3. Step 3: Cross multiply
    62.68x = 93.48 × 54.16
  4. Step 4: Simplify right side
    62.68x = 5,062.88
  5. Step 5: Solve for x
    x = 5,062.88/62.68
  6. Step 6: Final answer
    x = 80.77

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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.