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Finding the Fourth Proportional to 107.53, 148.41 and 79.86

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Solution

The fourth proportional to 107.53, 148.41 and 79.86 is: 110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.53 : 148.41 = 79.86 : x
  2. Step 2: Convert to fraction form
    107.53/148.41 = 79.86/x
  3. Step 3: Cross multiply
    107.53x = 148.41 × 79.86
  4. Step 4: Simplify right side
    107.53x = 11,851.28
  5. Step 5: Solve for x
    x = 11,851.28/107.53
  6. Step 6: Final answer
    x = 110.21

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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.