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Finding the Fourth Proportional to 135.44, 202.98 and 99.32

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Solution

The fourth proportional to 135.44, 202.98 and 99.32 is: 148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.44 : 202.98 = 99.32 : x
  2. Step 2: Convert to fraction form
    135.44/202.98 = 99.32/x
  3. Step 3: Cross multiply
    135.44x = 202.98 × 99.32
  4. Step 4: Simplify right side
    135.44x = 20,159.97
  5. Step 5: Solve for x
    x = 20,159.97/135.44
  6. Step 6: Final answer
    x = 148.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.