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Finding the Fourth Proportional to 97.83, 135 and 53.57

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Solution

The fourth proportional to 97.83, 135 and 53.57 is: 73.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.83 : 135 = 53.57 : x
  2. Step 2: Convert to fraction form
    97.83/135 = 53.57/x
  3. Step 3: Cross multiply
    97.83x = 135 × 53.57
  4. Step 4: Simplify right side
    97.83x = 7,231.28
  5. Step 5: Solve for x
    x = 7,231.28/97.83
  6. Step 6: Final answer
    x = 73.92

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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.