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Finding the Fourth Proportional to 71.32, 97.06 and 71.04

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Solution

The fourth proportional to 71.32, 97.06 and 71.04 is: 96.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.32 : 97.06 = 71.04 : x
  2. Step 2: Convert to fraction form
    71.32/97.06 = 71.04/x
  3. Step 3: Cross multiply
    71.32x = 97.06 × 71.04
  4. Step 4: Simplify right side
    71.32x = 6,895.14
  5. Step 5: Solve for x
    x = 6,895.14/71.32
  6. Step 6: Final answer
    x = 96.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.