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Finding the Fourth Proportional to 89.15, 133.13 and 71.06

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Solution

The fourth proportional to 89.15, 133.13 and 71.06 is: 106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.15 : 133.13 = 71.06 : x
  2. Step 2: Convert to fraction form
    89.15/133.13 = 71.06/x
  3. Step 3: Cross multiply
    89.15x = 133.13 × 71.06
  4. Step 4: Simplify right side
    89.15x = 9,459.73
  5. Step 5: Solve for x
    x = 9,459.73/89.15
  6. Step 6: Final answer
    x = 106.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.