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Finding the Fourth Proportional to 97.50, 134.35 and 79.96

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Solution

The fourth proportional to 97.50, 134.35 and 79.96 is: 110.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.50 : 134.35 = 79.96 : x
  2. Step 2: Convert to fraction form
    97.50/134.35 = 79.96/x
  3. Step 3: Cross multiply
    97.50x = 134.35 × 79.96
  4. Step 4: Simplify right side
    97.50x = 10,742.34
  5. Step 5: Solve for x
    x = 10,742.34/97.50
  6. Step 6: Final answer
    x = 110.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.