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Finding the Fourth Proportional to 96.51, 145.35 and 81.39

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Solution

The fourth proportional to 96.51, 145.35 and 81.39 is: 122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.51 : 145.35 = 81.39 : x
  2. Step 2: Convert to fraction form
    96.51/145.35 = 81.39/x
  3. Step 3: Cross multiply
    96.51x = 145.35 × 81.39
  4. Step 4: Simplify right side
    96.51x = 11,830.04
  5. Step 5: Solve for x
    x = 11,830.04/96.51
  6. Step 6: Final answer
    x = 122.58

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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.