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Finding the Fourth Proportional to 89.24, 133.78 and 57.16

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Solution

The fourth proportional to 89.24, 133.78 and 57.16 is: 85.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.24 : 133.78 = 57.16 : x
  2. Step 2: Convert to fraction form
    89.24/133.78 = 57.16/x
  3. Step 3: Cross multiply
    89.24x = 133.78 × 57.16
  4. Step 4: Simplify right side
    89.24x = 7,646.86
  5. Step 5: Solve for x
    x = 7,646.86/89.24
  6. Step 6: Final answer
    x = 85.69

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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.