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Finding the Fourth Proportional to 97.59, 134.64 and 71.30

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Solution

The fourth proportional to 97.59, 134.64 and 71.30 is: 98.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.59 : 134.64 = 71.30 : x
  2. Step 2: Convert to fraction form
    97.59/134.64 = 71.30/x
  3. Step 3: Cross multiply
    97.59x = 134.64 × 71.30
  4. Step 4: Simplify right side
    97.59x = 9,599.16
  5. Step 5: Solve for x
    x = 9,599.16/97.59
  6. Step 6: Final answer
    x = 98.36

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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.