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Finding the Fourth Proportional to 46.14, 68.77 and 44.13

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Solution

The fourth proportional to 46.14, 68.77 and 44.13 is: 65.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.14 : 68.77 = 44.13 : x
  2. Step 2: Convert to fraction form
    46.14/68.77 = 44.13/x
  3. Step 3: Cross multiply
    46.14x = 68.77 × 44.13
  4. Step 4: Simplify right side
    46.14x = 3,034.71
  5. Step 5: Solve for x
    x = 3,034.71/46.14
  6. Step 6: Final answer
    x = 65.77

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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.