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Finding the Fourth Proportional to 76.98, 106.03 and 60.57

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Solution

The fourth proportional to 76.98, 106.03 and 60.57 is: 83.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.98 : 106.03 = 60.57 : x
  2. Step 2: Convert to fraction form
    76.98/106.03 = 60.57/x
  3. Step 3: Cross multiply
    76.98x = 106.03 × 60.57
  4. Step 4: Simplify right side
    76.98x = 6,422.24
  5. Step 5: Solve for x
    x = 6,422.24/76.98
  6. Step 6: Final answer
    x = 83.43

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Why These Related Problems?

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