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Finding the Fourth Proportional to 71.04, 97.84 and 51.52

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Solution

The fourth proportional to 71.04, 97.84 and 51.52 is: 70.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.04 : 97.84 = 51.52 : x
  2. Step 2: Convert to fraction form
    71.04/97.84 = 51.52/x
  3. Step 3: Cross multiply
    71.04x = 97.84 × 51.52
  4. Step 4: Simplify right side
    71.04x = 5,040.72
  5. Step 5: Solve for x
    x = 5,040.72/71.04
  6. Step 6: Final answer
    x = 70.96

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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.