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Finding the Fourth Proportional to 147.64, 221.07 and 113.32

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Solution

The fourth proportional to 147.64, 221.07 and 113.32 is: 169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.64 : 221.07 = 113.32 : x
  2. Step 2: Convert to fraction form
    147.64/221.07 = 113.32/x
  3. Step 3: Cross multiply
    147.64x = 221.07 × 113.32
  4. Step 4: Simplify right side
    147.64x = 25,051.65
  5. Step 5: Solve for x
    x = 25,051.65/147.64
  6. Step 6: Final answer
    x = 169.68

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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.