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Finding the Fourth Proportional to 96.40, 143.69 and 92.35

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Solution

The fourth proportional to 96.40, 143.69 and 92.35 is: 137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.40 : 143.69 = 92.35 : x
  2. Step 2: Convert to fraction form
    96.40/143.69 = 92.35/x
  3. Step 3: Cross multiply
    96.40x = 143.69 × 92.35
  4. Step 4: Simplify right side
    96.40x = 13,269.77
  5. Step 5: Solve for x
    x = 13,269.77/96.40
  6. Step 6: Final answer
    x = 137.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.