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Finding the Fourth Proportional to 148.77, 223.36 and 87.95

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Solution

The fourth proportional to 148.77, 223.36 and 87.95 is: 132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.77 : 223.36 = 87.95 : x
  2. Step 2: Convert to fraction form
    148.77/223.36 = 87.95/x
  3. Step 3: Cross multiply
    148.77x = 223.36 × 87.95
  4. Step 4: Simplify right side
    148.77x = 19,644.85
  5. Step 5: Solve for x
    x = 19,644.85/148.77
  6. Step 6: Final answer
    x = 132.05

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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.