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Finding the Fourth Proportional to 115.84, 174.10 and 96.70

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Solution

The fourth proportional to 115.84, 174.10 and 96.70 is: 145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.84 : 174.10 = 96.70 : x
  2. Step 2: Convert to fraction form
    115.84/174.10 = 96.70/x
  3. Step 3: Cross multiply
    115.84x = 174.10 × 96.70
  4. Step 4: Simplify right side
    115.84x = 16,835.47
  5. Step 5: Solve for x
    x = 16,835.47/115.84
  6. Step 6: Final answer
    x = 145.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.