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Finding the Fourth Proportional to 41.07, 56.66 and 31.23

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Solution

The fourth proportional to 41.07, 56.66 and 31.23 is: 43.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.07 : 56.66 = 31.23 : x
  2. Step 2: Convert to fraction form
    41.07/56.66 = 31.23/x
  3. Step 3: Cross multiply
    41.07x = 56.66 × 31.23
  4. Step 4: Simplify right side
    41.07x = 1,769.26
  5. Step 5: Solve for x
    x = 1,769.26/41.07
  6. Step 6: Final answer
    x = 43.08

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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.