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Finding the Fourth Proportional to 71.70, 106.75 and 71.30

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Solution

The fourth proportional to 71.70, 106.75 and 71.30 is: 106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.70 : 106.75 = 71.30 : x
  2. Step 2: Convert to fraction form
    71.70/106.75 = 71.30/x
  3. Step 3: Cross multiply
    71.70x = 106.75 × 71.30
  4. Step 4: Simplify right side
    71.70x = 7,611.28
  5. Step 5: Solve for x
    x = 7,611.28/71.70
  6. Step 6: Final answer
    x = 106.15

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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.