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Finding the Fourth Proportional to 71.53, 98.52 and 69.03

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Solution

The fourth proportional to 71.53, 98.52 and 69.03 is: 95.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.53 : 98.52 = 69.03 : x
  2. Step 2: Convert to fraction form
    71.53/98.52 = 69.03/x
  3. Step 3: Cross multiply
    71.53x = 98.52 × 69.03
  4. Step 4: Simplify right side
    71.53x = 6,800.49
  5. Step 5: Solve for x
    x = 6,800.49/71.53
  6. Step 6: Final answer
    x = 95.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.