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Finding the Fourth Proportional to 97.05, 133.93 and 53.38

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Solution

The fourth proportional to 97.05, 133.93 and 53.38 is: 73.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.05 : 133.93 = 53.38 : x
  2. Step 2: Convert to fraction form
    97.05/133.93 = 53.38/x
  3. Step 3: Cross multiply
    97.05x = 133.93 × 53.38
  4. Step 4: Simplify right side
    97.05x = 7,149.18
  5. Step 5: Solve for x
    x = 7,149.18/97.05
  6. Step 6: Final answer
    x = 73.66

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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.