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Finding the Fourth Proportional to 113.15, 155.82 and 96.74

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Solution

The fourth proportional to 113.15, 155.82 and 96.74 is: 133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.15 : 155.82 = 96.74 : x
  2. Step 2: Convert to fraction form
    113.15/155.82 = 96.74/x
  3. Step 3: Cross multiply
    113.15x = 155.82 × 96.74
  4. Step 4: Simplify right side
    113.15x = 15,075.07
  5. Step 5: Solve for x
    x = 15,075.07/113.15
  6. Step 6: Final answer
    x = 133.23

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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.