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Finding the Fourth Proportional to 71.61, 98.70 and 53.24

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Solution

The fourth proportional to 71.61, 98.70 and 53.24 is: 73.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.61 : 98.70 = 53.24 : x
  2. Step 2: Convert to fraction form
    71.61/98.70 = 53.24/x
  3. Step 3: Cross multiply
    71.61x = 98.70 × 53.24
  4. Step 4: Simplify right side
    71.61x = 5,254.79
  5. Step 5: Solve for x
    x = 5,254.79/71.61
  6. Step 6: Final answer
    x = 73.38

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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.