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Finding the Fourth Proportional to 96.07, 132.57 and 52.40

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Solution

The fourth proportional to 96.07, 132.57 and 52.40 is: 72.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.07 : 132.57 = 52.40 : x
  2. Step 2: Convert to fraction form
    96.07/132.57 = 52.40/x
  3. Step 3: Cross multiply
    96.07x = 132.57 × 52.40
  4. Step 4: Simplify right side
    96.07x = 6,946.81
  5. Step 5: Solve for x
    x = 6,946.81/96.07
  6. Step 6: Final answer
    x = 72.31

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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.