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Finding the Fourth Proportional to 112.98, 155.86 and 76.16

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Solution

The fourth proportional to 112.98, 155.86 and 76.16 is: 105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.98 : 155.86 = 76.16 : x
  2. Step 2: Convert to fraction form
    112.98/155.86 = 76.16/x
  3. Step 3: Cross multiply
    112.98x = 155.86 × 76.16
  4. Step 4: Simplify right side
    112.98x = 11,870.50
  5. Step 5: Solve for x
    x = 11,870.50/112.98
  6. Step 6: Final answer
    x = 105.06

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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.