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Finding the Fourth Proportional to 76.02, 104.60 and 60.42

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Solution

The fourth proportional to 76.02, 104.60 and 60.42 is: 83.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.02 : 104.60 = 60.42 : x
  2. Step 2: Convert to fraction form
    76.02/104.60 = 60.42/x
  3. Step 3: Cross multiply
    76.02x = 104.60 × 60.42
  4. Step 4: Simplify right side
    76.02x = 6,319.93
  5. Step 5: Solve for x
    x = 6,319.93/76.02
  6. Step 6: Final answer
    x = 83.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.