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Finding the Fourth Proportional to 96.90, 135.75 and 96.90

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Solution

The fourth proportional to 96.90, 135.75 and 96.90 is: 135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.90 : 135.75 = 96.90 : x
  2. Step 2: Convert to fraction form
    96.90/135.75 = 96.90/x
  3. Step 3: Cross multiply
    96.90x = 135.75 × 96.90
  4. Step 4: Simplify right side
    96.90x = 13,154.18
  5. Step 5: Solve for x
    x = 13,154.18/96.90
  6. Step 6: Final answer
    x = 135.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.