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Finding the Fourth Proportional to 147.24, 220.92 and 70.16

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Solution

The fourth proportional to 147.24, 220.92 and 70.16 is: 105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.24 : 220.92 = 70.16 : x
  2. Step 2: Convert to fraction form
    147.24/220.92 = 70.16/x
  3. Step 3: Cross multiply
    147.24x = 220.92 × 70.16
  4. Step 4: Simplify right side
    147.24x = 15,499.75
  5. Step 5: Solve for x
    x = 15,499.75/147.24
  6. Step 6: Final answer
    x = 105.27

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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.