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Finding the Fourth Proportional to 76.65, 105.63 and 59.13

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Solution

The fourth proportional to 76.65, 105.63 and 59.13 is: 81.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.65 : 105.63 = 59.13 : x
  2. Step 2: Convert to fraction form
    76.65/105.63 = 59.13/x
  3. Step 3: Cross multiply
    76.65x = 105.63 × 59.13
  4. Step 4: Simplify right side
    76.65x = 6,245.90
  5. Step 5: Solve for x
    x = 6,245.90/76.65
  6. Step 6: Final answer
    x = 81.49

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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.