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Finding the Fourth Proportional to 95.34, 131.68 and 84.98

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Solution

The fourth proportional to 95.34, 131.68 and 84.98 is: 117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.34 : 131.68 = 84.98 : x
  2. Step 2: Convert to fraction form
    95.34/131.68 = 84.98/x
  3. Step 3: Cross multiply
    95.34x = 131.68 × 84.98
  4. Step 4: Simplify right side
    95.34x = 11,189.08
  5. Step 5: Solve for x
    x = 11,189.08/95.34
  6. Step 6: Final answer
    x = 117.36

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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.