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Finding the Fourth Proportional to 95.04, 130.82 and 74.28

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Solution

The fourth proportional to 95.04, 130.82 and 74.28 is: 102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.04 : 130.82 = 74.28 : x
  2. Step 2: Convert to fraction form
    95.04/130.82 = 74.28/x
  3. Step 3: Cross multiply
    95.04x = 130.82 × 74.28
  4. Step 4: Simplify right side
    95.04x = 9,716.66
  5. Step 5: Solve for x
    x = 9,716.66/95.04
  6. Step 6: Final answer
    x = 102.24

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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.