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Finding the Fourth Proportional to 97.06, 133.94 and 53.40

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Solution

The fourth proportional to 97.06, 133.94 and 53.40 is: 73.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.06 : 133.94 = 53.40 : x
  2. Step 2: Convert to fraction form
    97.06/133.94 = 53.40/x
  3. Step 3: Cross multiply
    97.06x = 133.94 × 53.40
  4. Step 4: Simplify right side
    97.06x = 7,151.69
  5. Step 5: Solve for x
    x = 7,151.69/97.06
  6. Step 6: Final answer
    x = 73.68

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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.