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Finding the Fourth Proportional to 56.23, 83.95 and 48.11

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Solution

The fourth proportional to 56.23, 83.95 and 48.11 is: 71.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.23 : 83.95 = 48.11 : x
  2. Step 2: Convert to fraction form
    56.23/83.95 = 48.11/x
  3. Step 3: Cross multiply
    56.23x = 83.95 × 48.11
  4. Step 4: Simplify right side
    56.23x = 4,039.04
  5. Step 5: Solve for x
    x = 4,039.04/56.23
  6. Step 6: Final answer
    x = 71.83

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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.