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Finding the Fourth Proportional to 65.93, 90.89 and 48.41

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Solution

The fourth proportional to 65.93, 90.89 and 48.41 is: 66.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.93 : 90.89 = 48.41 : x
  2. Step 2: Convert to fraction form
    65.93/90.89 = 48.41/x
  3. Step 3: Cross multiply
    65.93x = 90.89 × 48.41
  4. Step 4: Simplify right side
    65.93x = 4,399.29
  5. Step 5: Solve for x
    x = 4,399.29/65.93
  6. Step 6: Final answer
    x = 66.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.