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Finding the Fourth Proportional to 97.33, 134.32 and 53.66

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Solution

The fourth proportional to 97.33, 134.32 and 53.66 is: 74.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.33 : 134.32 = 53.66 : x
  2. Step 2: Convert to fraction form
    97.33/134.32 = 53.66/x
  3. Step 3: Cross multiply
    97.33x = 134.32 × 53.66
  4. Step 4: Simplify right side
    97.33x = 7,207.61
  5. Step 5: Solve for x
    x = 7,207.61/97.33
  6. Step 6: Final answer
    x = 74.05

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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.