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Finding the Fourth Proportional to 147.13, 202.92 and 110.23

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Solution

The fourth proportional to 147.13, 202.92 and 110.23 is: 152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.13 : 202.92 = 110.23 : x
  2. Step 2: Convert to fraction form
    147.13/202.92 = 110.23/x
  3. Step 3: Cross multiply
    147.13x = 202.92 × 110.23
  4. Step 4: Simplify right side
    147.13x = 22,367.87
  5. Step 5: Solve for x
    x = 22,367.87/147.13
  6. Step 6: Final answer
    x = 152.03

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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.