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Finding the Fourth Proportional to 148.61, 222.77 and 57.29

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Solution

The fourth proportional to 148.61, 222.77 and 57.29 is: 85.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.61 : 222.77 = 57.29 : x
  2. Step 2: Convert to fraction form
    148.61/222.77 = 57.29/x
  3. Step 3: Cross multiply
    148.61x = 222.77 × 57.29
  4. Step 4: Simplify right side
    148.61x = 12,761.09
  5. Step 5: Solve for x
    x = 12,761.09/148.61
  6. Step 6: Final answer
    x = 85.87

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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.