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Finding the Fourth Proportional to 112.69, 155.47 and 71.24

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Solution

The fourth proportional to 112.69, 155.47 and 71.24 is: 98.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.69 : 155.47 = 71.24 : x
  2. Step 2: Convert to fraction form
    112.69/155.47 = 71.24/x
  3. Step 3: Cross multiply
    112.69x = 155.47 × 71.24
  4. Step 4: Simplify right side
    112.69x = 11,075.68
  5. Step 5: Solve for x
    x = 11,075.68/112.69
  6. Step 6: Final answer
    x = 98.28

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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.