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Finding the Fourth Proportional to 60.71, 91.42 and 53.19

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Solution

The fourth proportional to 60.71, 91.42 and 53.19 is: 80.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.71 : 91.42 = 53.19 : x
  2. Step 2: Convert to fraction form
    60.71/91.42 = 53.19/x
  3. Step 3: Cross multiply
    60.71x = 91.42 × 53.19
  4. Step 4: Simplify right side
    60.71x = 4,862.63
  5. Step 5: Solve for x
    x = 4,862.63/60.71
  6. Step 6: Final answer
    x = 80.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.