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Finding the Fourth Proportional to 96.78, 145.88 and 91.20

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Solution

The fourth proportional to 96.78, 145.88 and 91.20 is: 137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.78 : 145.88 = 91.20 : x
  2. Step 2: Convert to fraction form
    96.78/145.88 = 91.20/x
  3. Step 3: Cross multiply
    96.78x = 145.88 × 91.20
  4. Step 4: Simplify right side
    96.78x = 13,304.26
  5. Step 5: Solve for x
    x = 13,304.26/96.78
  6. Step 6: Final answer
    x = 137.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.