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Finding the Fourth Proportional to 43.31, 59.71 and 31.02

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Solution

The fourth proportional to 43.31, 59.71 and 31.02 is: 42.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.31 : 59.71 = 31.02 : x
  2. Step 2: Convert to fraction form
    43.31/59.71 = 31.02/x
  3. Step 3: Cross multiply
    43.31x = 59.71 × 31.02
  4. Step 4: Simplify right side
    43.31x = 1,852.20
  5. Step 5: Solve for x
    x = 1,852.20/43.31
  6. Step 6: Final answer
    x = 42.77

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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.