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Finding the Fourth Proportional to 57.84, 87.16 and 57.60

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Solution

The fourth proportional to 57.84, 87.16 and 57.60 is: 86.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.84 : 87.16 = 57.60 : x
  2. Step 2: Convert to fraction form
    57.84/87.16 = 57.60/x
  3. Step 3: Cross multiply
    57.84x = 87.16 × 57.60
  4. Step 4: Simplify right side
    57.84x = 5,020.42
  5. Step 5: Solve for x
    x = 5,020.42/57.84
  6. Step 6: Final answer
    x = 86.80

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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.