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Finding the Fourth Proportional to 147.32, 221.10 and 99.26

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Solution

The fourth proportional to 147.32, 221.10 and 99.26 is: 148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.32 : 221.10 = 99.26 : x
  2. Step 2: Convert to fraction form
    147.32/221.10 = 99.26/x
  3. Step 3: Cross multiply
    147.32x = 221.10 × 99.26
  4. Step 4: Simplify right side
    147.32x = 21,946.39
  5. Step 5: Solve for x
    x = 21,946.39/147.32
  6. Step 6: Final answer
    x = 148.97

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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.