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Finding the Fourth Proportional to 98.82, 147.24 and 90.72

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Solution

The fourth proportional to 98.82, 147.24 and 90.72 is: 135.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.82 : 147.24 = 90.72 : x
  2. Step 2: Convert to fraction form
    98.82/147.24 = 90.72/x
  3. Step 3: Cross multiply
    98.82x = 147.24 × 90.72
  4. Step 4: Simplify right side
    98.82x = 13,357.61
  5. Step 5: Solve for x
    x = 13,357.61/98.82
  6. Step 6: Final answer
    x = 135.17

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