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Finding the Fourth Proportional to 97.61, 134.70 and 53.95

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Solution

The fourth proportional to 97.61, 134.70 and 53.95 is: 74.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.61 : 134.70 = 53.95 : x
  2. Step 2: Convert to fraction form
    97.61/134.70 = 53.95/x
  3. Step 3: Cross multiply
    97.61x = 134.70 × 53.95
  4. Step 4: Simplify right side
    97.61x = 7,266.39
  5. Step 5: Solve for x
    x = 7,266.39/97.61
  6. Step 6: Final answer
    x = 74.44

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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.