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Finding the Fourth Proportional to 107.41, 148.17 and 70.55

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Solution

The fourth proportional to 107.41, 148.17 and 70.55 is: 97.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.41 : 148.17 = 70.55 : x
  2. Step 2: Convert to fraction form
    107.41/148.17 = 70.55/x
  3. Step 3: Cross multiply
    107.41x = 148.17 × 70.55
  4. Step 4: Simplify right side
    107.41x = 10,453.39
  5. Step 5: Solve for x
    x = 10,453.39/107.41
  6. Step 6: Final answer
    x = 97.32

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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.