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Finding the Fourth Proportional to 95.26, 142.89 and 52.01

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Solution

The fourth proportional to 95.26, 142.89 and 52.01 is: 78.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.26 : 142.89 = 52.01 : x
  2. Step 2: Convert to fraction form
    95.26/142.89 = 52.01/x
  3. Step 3: Cross multiply
    95.26x = 142.89 × 52.01
  4. Step 4: Simplify right side
    95.26x = 7,431.71
  5. Step 5: Solve for x
    x = 7,431.71/95.26
  6. Step 6: Final answer
    x = 78.02

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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.