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Finding the Fourth Proportional to 43.30, 64.90 and 37.31

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Solution

The fourth proportional to 43.30, 64.90 and 37.31 is: 55.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.30 : 64.90 = 37.31 : x
  2. Step 2: Convert to fraction form
    43.30/64.90 = 37.31/x
  3. Step 3: Cross multiply
    43.30x = 64.90 × 37.31
  4. Step 4: Simplify right side
    43.30x = 2,421.23
  5. Step 5: Solve for x
    x = 2,421.23/43.30
  6. Step 6: Final answer
    x = 55.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.