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Finding the Fourth Proportional to 147.19, 220.51 and 92.19

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Solution

The fourth proportional to 147.19, 220.51 and 92.19 is: 138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.19 : 220.51 = 92.19 : x
  2. Step 2: Convert to fraction form
    147.19/220.51 = 92.19/x
  3. Step 3: Cross multiply
    147.19x = 220.51 × 92.19
  4. Step 4: Simplify right side
    147.19x = 20,328.82
  5. Step 5: Solve for x
    x = 20,328.82/147.19
  6. Step 6: Final answer
    x = 138.11

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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.