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Finding the Fourth Proportional to 97.34, 133.47 and 86.40

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Solution

The fourth proportional to 97.34, 133.47 and 86.40 is: 118.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.34 : 133.47 = 86.40 : x
  2. Step 2: Convert to fraction form
    97.34/133.47 = 86.40/x
  3. Step 3: Cross multiply
    97.34x = 133.47 × 86.40
  4. Step 4: Simplify right side
    97.34x = 11,531.81
  5. Step 5: Solve for x
    x = 11,531.81/97.34
  6. Step 6: Final answer
    x = 118.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.