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Finding the Fourth Proportional to 147.96, 222.05 and 61.34

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Solution

The fourth proportional to 147.96, 222.05 and 61.34 is: 92.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.96 : 222.05 = 61.34 : x
  2. Step 2: Convert to fraction form
    147.96/222.05 = 61.34/x
  3. Step 3: Cross multiply
    147.96x = 222.05 × 61.34
  4. Step 4: Simplify right side
    147.96x = 13,621.26
  5. Step 5: Solve for x
    x = 13,621.26/147.96
  6. Step 6: Final answer
    x = 92.06

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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.