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Finding the Fourth Proportional to 71.59, 106.76 and 70.03

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Solution

The fourth proportional to 71.59, 106.76 and 70.03 is: 104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.59 : 106.76 = 70.03 : x
  2. Step 2: Convert to fraction form
    71.59/106.76 = 70.03/x
  3. Step 3: Cross multiply
    71.59x = 106.76 × 70.03
  4. Step 4: Simplify right side
    71.59x = 7,476.05
  5. Step 5: Solve for x
    x = 7,476.05/71.59
  6. Step 6: Final answer
    x = 104.43

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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.