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Finding the Fourth Proportional to 29.32, 44.14 and 25.54

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Solution

The fourth proportional to 29.32, 44.14 and 25.54 is: 38.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.32 : 44.14 = 25.54 : x
  2. Step 2: Convert to fraction form
    29.32/44.14 = 25.54/x
  3. Step 3: Cross multiply
    29.32x = 44.14 × 25.54
  4. Step 4: Simplify right side
    29.32x = 1,127.34
  5. Step 5: Solve for x
    x = 1,127.34/29.32
  6. Step 6: Final answer
    x = 38.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.