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Finding the Fourth Proportional to 147.61, 220.96 and 96.14

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Solution

The fourth proportional to 147.61, 220.96 and 96.14 is: 143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.61 : 220.96 = 96.14 : x
  2. Step 2: Convert to fraction form
    147.61/220.96 = 96.14/x
  3. Step 3: Cross multiply
    147.61x = 220.96 × 96.14
  4. Step 4: Simplify right side
    147.61x = 21,241.51
  5. Step 5: Solve for x
    x = 21,241.51/147.61
  6. Step 6: Final answer
    x = 143.91

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Why These Related Problems?

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