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Finding the Fourth Proportional to 110.77, 166.10 and 59.29

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Solution

The fourth proportional to 110.77, 166.10 and 59.29 is: 88.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.77 : 166.10 = 59.29 : x
  2. Step 2: Convert to fraction form
    110.77/166.10 = 59.29/x
  3. Step 3: Cross multiply
    110.77x = 166.10 × 59.29
  4. Step 4: Simplify right side
    110.77x = 9,848.07
  5. Step 5: Solve for x
    x = 9,848.07/110.77
  6. Step 6: Final answer
    x = 88.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.