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Finding the Fourth Proportional to 74.89, 112.17 and 57.64

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Solution

The fourth proportional to 74.89, 112.17 and 57.64 is: 86.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.89 : 112.17 = 57.64 : x
  2. Step 2: Convert to fraction form
    74.89/112.17 = 57.64/x
  3. Step 3: Cross multiply
    74.89x = 112.17 × 57.64
  4. Step 4: Simplify right side
    74.89x = 6,465.48
  5. Step 5: Solve for x
    x = 6,465.48/74.89
  6. Step 6: Final answer
    x = 86.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.