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Finding the Fourth Proportional to 96.48, 133.16 and 74.77

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Solution

The fourth proportional to 96.48, 133.16 and 74.77 is: 103.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.48 : 133.16 = 74.77 : x
  2. Step 2: Convert to fraction form
    96.48/133.16 = 74.77/x
  3. Step 3: Cross multiply
    96.48x = 133.16 × 74.77
  4. Step 4: Simplify right side
    96.48x = 9,955.67
  5. Step 5: Solve for x
    x = 9,955.67/96.48
  6. Step 6: Final answer
    x = 103.19

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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.