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Finding the Fourth Proportional to 95.02, 141.92 and 72.07

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Solution

The fourth proportional to 95.02, 141.92 and 72.07 is: 107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.02 : 141.92 = 72.07 : x
  2. Step 2: Convert to fraction form
    95.02/141.92 = 72.07/x
  3. Step 3: Cross multiply
    95.02x = 141.92 × 72.07
  4. Step 4: Simplify right side
    95.02x = 10,228.17
  5. Step 5: Solve for x
    x = 10,228.17/95.02
  6. Step 6: Final answer
    x = 107.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.