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Finding the Fourth Proportional to 95.52, 144 and 84.48

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Solution

The fourth proportional to 95.52, 144 and 84.48 is: 127.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.52 : 144 = 84.48 : x
  2. Step 2: Convert to fraction form
    95.52/144 = 84.48/x
  3. Step 3: Cross multiply
    95.52x = 144 × 84.48
  4. Step 4: Simplify right side
    95.52x = 12,165.12
  5. Step 5: Solve for x
    x = 12,165.12/95.52
  6. Step 6: Final answer
    x = 127.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.