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Finding the Fourth Proportional to 43.41, 64.74 and 41.02

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Solution

The fourth proportional to 43.41, 64.74 and 41.02 is: 61.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.41 : 64.74 = 41.02 : x
  2. Step 2: Convert to fraction form
    43.41/64.74 = 41.02/x
  3. Step 3: Cross multiply
    43.41x = 64.74 × 41.02
  4. Step 4: Simplify right side
    43.41x = 2,655.31
  5. Step 5: Solve for x
    x = 2,655.31/43.41
  6. Step 6: Final answer
    x = 61.17

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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.