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Finding the Fourth Proportional to 71.38, 98.40 and 53.02

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Solution

The fourth proportional to 71.38, 98.40 and 53.02 is: 73.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.38 : 98.40 = 53.02 : x
  2. Step 2: Convert to fraction form
    71.38/98.40 = 53.02/x
  3. Step 3: Cross multiply
    71.38x = 98.40 × 53.02
  4. Step 4: Simplify right side
    71.38x = 5,217.17
  5. Step 5: Solve for x
    x = 5,217.17/71.38
  6. Step 6: Final answer
    x = 73.09

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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.