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Finding the Fourth Proportional to 96.34, 132.97 and 57.53

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Solution

The fourth proportional to 96.34, 132.97 and 57.53 is: 79.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.34 : 132.97 = 57.53 : x
  2. Step 2: Convert to fraction form
    96.34/132.97 = 57.53/x
  3. Step 3: Cross multiply
    96.34x = 132.97 × 57.53
  4. Step 4: Simplify right side
    96.34x = 7,649.76
  5. Step 5: Solve for x
    x = 7,649.76/96.34
  6. Step 6: Final answer
    x = 79.40

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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.