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Finding the Fourth Proportional to 130.98, 180.75 and 71.97

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Solution

The fourth proportional to 130.98, 180.75 and 71.97 is: 99.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.98 : 180.75 = 71.97 : x
  2. Step 2: Convert to fraction form
    130.98/180.75 = 71.97/x
  3. Step 3: Cross multiply
    130.98x = 180.75 × 71.97
  4. Step 4: Simplify right side
    130.98x = 13,008.58
  5. Step 5: Solve for x
    x = 13,008.58/130.98
  6. Step 6: Final answer
    x = 99.32

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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.