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Finding the Fourth Proportional to 148.54, 221.71 and 112.30

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Solution

The fourth proportional to 148.54, 221.71 and 112.30 is: 167.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.54 : 221.71 = 112.30 : x
  2. Step 2: Convert to fraction form
    148.54/221.71 = 112.30/x
  3. Step 3: Cross multiply
    148.54x = 221.71 × 112.30
  4. Step 4: Simplify right side
    148.54x = 24,897.47
  5. Step 5: Solve for x
    x = 24,897.47/148.54
  6. Step 6: Final answer
    x = 167.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.