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Finding the Fourth Proportional to 70.91, 106.57 and 42.04

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Solution

The fourth proportional to 70.91, 106.57 and 42.04 is: 63.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.91 : 106.57 = 42.04 : x
  2. Step 2: Convert to fraction form
    70.91/106.57 = 42.04/x
  3. Step 3: Cross multiply
    70.91x = 106.57 × 42.04
  4. Step 4: Simplify right side
    70.91x = 4,479.55
  5. Step 5: Solve for x
    x = 4,479.55/70.91
  6. Step 6: Final answer
    x = 63.17

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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.