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Finding the Fourth Proportional to 107.61, 148.43 and 70.83

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Solution

The fourth proportional to 107.61, 148.43 and 70.83 is: 97.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.61 : 148.43 = 70.83 : x
  2. Step 2: Convert to fraction form
    107.61/148.43 = 70.83/x
  3. Step 3: Cross multiply
    107.61x = 148.43 × 70.83
  4. Step 4: Simplify right side
    107.61x = 10,512.94
  5. Step 5: Solve for x
    x = 10,512.94/107.61
  6. Step 6: Final answer
    x = 97.69

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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.