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Finding the Fourth Proportional to 148.32, 204.72 and 95.88

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Solution

The fourth proportional to 148.32, 204.72 and 95.88 is: 132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.32 : 204.72 = 95.88 : x
  2. Step 2: Convert to fraction form
    148.32/204.72 = 95.88/x
  3. Step 3: Cross multiply
    148.32x = 204.72 × 95.88
  4. Step 4: Simplify right side
    148.32x = 19,628.96
  5. Step 5: Solve for x
    x = 19,628.96/148.32
  6. Step 6: Final answer
    x = 132.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.