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Finding the Fourth Proportional to 98.48, 135.91 and 72.56

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Solution

The fourth proportional to 98.48, 135.91 and 72.56 is: 100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.48 : 135.91 = 72.56 : x
  2. Step 2: Convert to fraction form
    98.48/135.91 = 72.56/x
  3. Step 3: Cross multiply
    98.48x = 135.91 × 72.56
  4. Step 4: Simplify right side
    98.48x = 9,862.06
  5. Step 5: Solve for x
    x = 9,862.06/98.48
  6. Step 6: Final answer
    x = 100.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.