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Finding the Fourth Proportional to 107.53, 148.36 and 66.09

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Solution

The fourth proportional to 107.53, 148.36 and 66.09 is: 91.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.53 : 148.36 = 66.09 : x
  2. Step 2: Convert to fraction form
    107.53/148.36 = 66.09/x
  3. Step 3: Cross multiply
    107.53x = 148.36 × 66.09
  4. Step 4: Simplify right side
    107.53x = 9,805.11
  5. Step 5: Solve for x
    x = 9,805.11/107.53
  6. Step 6: Final answer
    x = 91.18

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Why These Related Problems?

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