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Finding the Fourth Proportional to 43.31, 64.54 and 39.77

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Solution

The fourth proportional to 43.31, 64.54 and 39.77 is: 59.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.31 : 64.54 = 39.77 : x
  2. Step 2: Convert to fraction form
    43.31/64.54 = 39.77/x
  3. Step 3: Cross multiply
    43.31x = 64.54 × 39.77
  4. Step 4: Simplify right side
    43.31x = 2,566.76
  5. Step 5: Solve for x
    x = 2,566.76/43.31
  6. Step 6: Final answer
    x = 59.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.