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Finding the Fourth Proportional to 40.69, 56.17 and 31.93

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Solution

The fourth proportional to 40.69, 56.17 and 31.93 is: 44.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.69 : 56.17 = 31.93 : x
  2. Step 2: Convert to fraction form
    40.69/56.17 = 31.93/x
  3. Step 3: Cross multiply
    40.69x = 56.17 × 31.93
  4. Step 4: Simplify right side
    40.69x = 1,793.51
  5. Step 5: Solve for x
    x = 1,793.51/40.69
  6. Step 6: Final answer
    x = 44.08

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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.