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Finding the Fourth Proportional to 147.69, 221.47 and 61.03

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Solution

The fourth proportional to 147.69, 221.47 and 61.03 is: 91.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.69 : 221.47 = 61.03 : x
  2. Step 2: Convert to fraction form
    147.69/221.47 = 61.03/x
  3. Step 3: Cross multiply
    147.69x = 221.47 × 61.03
  4. Step 4: Simplify right side
    147.69x = 13,516.87
  5. Step 5: Solve for x
    x = 13,516.87/147.69
  6. Step 6: Final answer
    x = 91.52

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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.