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Finding the Fourth Proportional to 97.10, 134.00 and 53.44

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Solution

The fourth proportional to 97.10, 134.00 and 53.44 is: 73.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.10 : 134.00 = 53.44 : x
  2. Step 2: Convert to fraction form
    97.10/134.00 = 53.44/x
  3. Step 3: Cross multiply
    97.10x = 134.00 × 53.44
  4. Step 4: Simplify right side
    97.10x = 7,160.02
  5. Step 5: Solve for x
    x = 7,160.02/97.10
  6. Step 6: Final answer
    x = 73.74

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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.