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Finding the Fourth Proportional to 148.13, 204.32 and 95.66

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Solution

The fourth proportional to 148.13, 204.32 and 95.66 is: 131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.13 : 204.32 = 95.66 : x
  2. Step 2: Convert to fraction form
    148.13/204.32 = 95.66/x
  3. Step 3: Cross multiply
    148.13x = 204.32 × 95.66
  4. Step 4: Simplify right side
    148.13x = 19,543.75
  5. Step 5: Solve for x
    x = 19,543.75/148.13
  6. Step 6: Final answer
    x = 131.94

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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.