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Finding the Fourth Proportional to 107.93, 148.09 and 97.49

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Solution

The fourth proportional to 107.93, 148.09 and 97.49 is: 133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.93 : 148.09 = 97.49 : x
  2. Step 2: Convert to fraction form
    107.93/148.09 = 97.49/x
  3. Step 3: Cross multiply
    107.93x = 148.09 × 97.49
  4. Step 4: Simplify right side
    107.93x = 14,437.29
  5. Step 5: Solve for x
    x = 14,437.29/107.93
  6. Step 6: Final answer
    x = 133.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.