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Finding the Fourth Proportional to 130.01, 178.88 and 98.75

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Solution

The fourth proportional to 130.01, 178.88 and 98.75 is: 135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.01 : 178.88 = 98.75 : x
  2. Step 2: Convert to fraction form
    130.01/178.88 = 98.75/x
  3. Step 3: Cross multiply
    130.01x = 178.88 × 98.75
  4. Step 4: Simplify right side
    130.01x = 17,663.38
  5. Step 5: Solve for x
    x = 17,663.38/130.01
  6. Step 6: Final answer
    x = 135.86

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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.