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Finding the Fourth Proportional to 41.35, 56.98 and 32.14

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Solution

The fourth proportional to 41.35, 56.98 and 32.14 is: 44.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.35 : 56.98 = 32.14 : x
  2. Step 2: Convert to fraction form
    41.35/56.98 = 32.14/x
  3. Step 3: Cross multiply
    41.35x = 56.98 × 32.14
  4. Step 4: Simplify right side
    41.35x = 1,831.34
  5. Step 5: Solve for x
    x = 1,831.34/41.35
  6. Step 6: Final answer
    x = 44.29

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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.