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Finding the Fourth Proportional to 107.09, 148.13 and 88.13

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Solution

The fourth proportional to 107.09, 148.13 and 88.13 is: 121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.09 : 148.13 = 88.13 : x
  2. Step 2: Convert to fraction form
    107.09/148.13 = 88.13/x
  3. Step 3: Cross multiply
    107.09x = 148.13 × 88.13
  4. Step 4: Simplify right side
    107.09x = 13,054.70
  5. Step 5: Solve for x
    x = 13,054.70/107.09
  6. Step 6: Final answer
    x = 121.90

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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.