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Finding the Fourth Proportional to 96.02, 143.10 and 92.95

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Solution

The fourth proportional to 96.02, 143.10 and 92.95 is: 138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.02 : 143.10 = 92.95 : x
  2. Step 2: Convert to fraction form
    96.02/143.10 = 92.95/x
  3. Step 3: Cross multiply
    96.02x = 143.10 × 92.95
  4. Step 4: Simplify right side
    96.02x = 13,300.31
  5. Step 5: Solve for x
    x = 13,300.31/96.02
  6. Step 6: Final answer
    x = 138.52

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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.