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Finding the Fourth Proportional to 147.72, 203.67 and 130.32

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Solution

The fourth proportional to 147.72, 203.67 and 130.32 is: 179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.72 : 203.67 = 130.32 : x
  2. Step 2: Convert to fraction form
    147.72/203.67 = 130.32/x
  3. Step 3: Cross multiply
    147.72x = 203.67 × 130.32
  4. Step 4: Simplify right side
    147.72x = 26,542.27
  5. Step 5: Solve for x
    x = 26,542.27/147.72
  6. Step 6: Final answer
    x = 179.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.