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Finding the Fourth Proportional to 56.13, 83.70 and 49.65

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Solution

The fourth proportional to 56.13, 83.70 and 49.65 is: 74.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.13 : 83.70 = 49.65 : x
  2. Step 2: Convert to fraction form
    56.13/83.70 = 49.65/x
  3. Step 3: Cross multiply
    56.13x = 83.70 × 49.65
  4. Step 4: Simplify right side
    56.13x = 4,155.71
  5. Step 5: Solve for x
    x = 4,155.71/56.13
  6. Step 6: Final answer
    x = 74.04

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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.