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Finding the Fourth Proportional to 107.43, 148.34 and 72.53

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Solution

The fourth proportional to 107.43, 148.34 and 72.53 is: 100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.43 : 148.34 = 72.53 : x
  2. Step 2: Convert to fraction form
    107.43/148.34 = 72.53/x
  3. Step 3: Cross multiply
    107.43x = 148.34 × 72.53
  4. Step 4: Simplify right side
    107.43x = 10,759.65
  5. Step 5: Solve for x
    x = 10,759.65/107.43
  6. Step 6: Final answer
    x = 100.16

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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.