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Finding the Fourth Proportional to 48.71, 66.93 and 45.66

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Solution

The fourth proportional to 48.71, 66.93 and 45.66 is: 62.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.71 : 66.93 = 45.66 : x
  2. Step 2: Convert to fraction form
    48.71/66.93 = 45.66/x
  3. Step 3: Cross multiply
    48.71x = 66.93 × 45.66
  4. Step 4: Simplify right side
    48.71x = 3,056.02
  5. Step 5: Solve for x
    x = 3,056.02/48.71
  6. Step 6: Final answer
    x = 62.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.