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Finding the Fourth Proportional to 97.42, 134.45 and 53.76

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Solution

The fourth proportional to 97.42, 134.45 and 53.76 is: 74.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.42 : 134.45 = 53.76 : x
  2. Step 2: Convert to fraction form
    97.42/134.45 = 53.76/x
  3. Step 3: Cross multiply
    97.42x = 134.45 × 53.76
  4. Step 4: Simplify right side
    97.42x = 7,228.03
  5. Step 5: Solve for x
    x = 7,228.03/97.42
  6. Step 6: Final answer
    x = 74.19

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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.