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Finding the Fourth Proportional to 107.91, 148.93 and 66.47

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Solution

The fourth proportional to 107.91, 148.93 and 66.47 is: 91.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.91 : 148.93 = 66.47 : x
  2. Step 2: Convert to fraction form
    107.91/148.93 = 66.47/x
  3. Step 3: Cross multiply
    107.91x = 148.93 × 66.47
  4. Step 4: Simplify right side
    107.91x = 9,899.58
  5. Step 5: Solve for x
    x = 9,899.58/107.91
  6. Step 6: Final answer
    x = 91.74

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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.