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Finding the Fourth Proportional to 43.74, 64.72 and 43.61

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Solution

The fourth proportional to 43.74, 64.72 and 43.61 is: 64.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.74 : 64.72 = 43.61 : x
  2. Step 2: Convert to fraction form
    43.74/64.72 = 43.61/x
  3. Step 3: Cross multiply
    43.74x = 64.72 × 43.61
  4. Step 4: Simplify right side
    43.74x = 2,822.28
  5. Step 5: Solve for x
    x = 2,822.28/43.74
  6. Step 6: Final answer
    x = 64.52

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.