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Finding the Fourth Proportional to 96.98, 145.34 and 75.50

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Solution

The fourth proportional to 96.98, 145.34 and 75.50 is: 113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.98 : 145.34 = 75.50 : x
  2. Step 2: Convert to fraction form
    96.98/145.34 = 75.50/x
  3. Step 3: Cross multiply
    96.98x = 145.34 × 75.50
  4. Step 4: Simplify right side
    96.98x = 10,973.17
  5. Step 5: Solve for x
    x = 10,973.17/96.98
  6. Step 6: Final answer
    x = 113.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.