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Finding the Fourth Proportional to 75.65, 112.57 and 75.40

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Solution

The fourth proportional to 75.65, 112.57 and 75.40 is: 112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.65 : 112.57 = 75.40 : x
  2. Step 2: Convert to fraction form
    75.65/112.57 = 75.40/x
  3. Step 3: Cross multiply
    75.65x = 112.57 × 75.40
  4. Step 4: Simplify right side
    75.65x = 8,487.31
  5. Step 5: Solve for x
    x = 8,487.31/75.65
  6. Step 6: Final answer
    x = 112.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.