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Finding the Fourth Proportional to 147.69, 221.54 and 96.25

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Solution

The fourth proportional to 147.69, 221.54 and 96.25 is: 144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.69 : 221.54 = 96.25 : x
  2. Step 2: Convert to fraction form
    147.69/221.54 = 96.25/x
  3. Step 3: Cross multiply
    147.69x = 221.54 × 96.25
  4. Step 4: Simplify right side
    147.69x = 21,323.23
  5. Step 5: Solve for x
    x = 21,323.23/147.69
  6. Step 6: Final answer
    x = 144.38

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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.