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Finding the Fourth Proportional to 107.66, 148.58 and 70.85

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Solution

The fourth proportional to 107.66, 148.58 and 70.85 is: 97.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.66 : 148.58 = 70.85 : x
  2. Step 2: Convert to fraction form
    107.66/148.58 = 70.85/x
  3. Step 3: Cross multiply
    107.66x = 148.58 × 70.85
  4. Step 4: Simplify right side
    107.66x = 10,526.89
  5. Step 5: Solve for x
    x = 10,526.89/107.66
  6. Step 6: Final answer
    x = 97.78

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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.