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Finding the Fourth Proportional to 95.31, 143.01 and 52.02

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Solution

The fourth proportional to 95.31, 143.01 and 52.02 is: 78.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.31 : 143.01 = 52.02 : x
  2. Step 2: Convert to fraction form
    95.31/143.01 = 52.02/x
  3. Step 3: Cross multiply
    95.31x = 143.01 × 52.02
  4. Step 4: Simplify right side
    95.31x = 7,439.38
  5. Step 5: Solve for x
    x = 7,439.38/95.31
  6. Step 6: Final answer
    x = 78.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.