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Finding the Fourth Proportional to 41.40, 56.98 and 31.72

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Solution

The fourth proportional to 41.40, 56.98 and 31.72 is: 43.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.40 : 56.98 = 31.72 : x
  2. Step 2: Convert to fraction form
    41.40/56.98 = 31.72/x
  3. Step 3: Cross multiply
    41.40x = 56.98 × 31.72
  4. Step 4: Simplify right side
    41.40x = 1,807.41
  5. Step 5: Solve for x
    x = 1,807.41/41.40
  6. Step 6: Final answer
    x = 43.66

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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.