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Finding the Fourth Proportional to 95.68, 132.03 and 52.01

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Solution

The fourth proportional to 95.68, 132.03 and 52.01 is: 71.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.68 : 132.03 = 52.01 : x
  2. Step 2: Convert to fraction form
    95.68/132.03 = 52.01/x
  3. Step 3: Cross multiply
    95.68x = 132.03 × 52.01
  4. Step 4: Simplify right side
    95.68x = 6,866.62
  5. Step 5: Solve for x
    x = 6,866.62/95.68
  6. Step 6: Final answer
    x = 71.77

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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.