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Finding the Fourth Proportional to 71.74, 106.93 and 71.17

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Solution

The fourth proportional to 71.74, 106.93 and 71.17 is: 106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.74 : 106.93 = 71.17 : x
  2. Step 2: Convert to fraction form
    71.74/106.93 = 71.17/x
  3. Step 3: Cross multiply
    71.74x = 106.93 × 71.17
  4. Step 4: Simplify right side
    71.74x = 7,610.21
  5. Step 5: Solve for x
    x = 7,610.21/71.74
  6. Step 6: Final answer
    x = 106.08

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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.