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Finding the Fourth Proportional to 66.06, 90.77 and 59.77

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Solution

The fourth proportional to 66.06, 90.77 and 59.77 is: 82.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.06 : 90.77 = 59.77 : x
  2. Step 2: Convert to fraction form
    66.06/90.77 = 59.77/x
  3. Step 3: Cross multiply
    66.06x = 90.77 × 59.77
  4. Step 4: Simplify right side
    66.06x = 5,425.32
  5. Step 5: Solve for x
    x = 5,425.32/66.06
  6. Step 6: Final answer
    x = 82.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.