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Finding the Fourth Proportional to 53.69, 74.13 and 48.56

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Solution

The fourth proportional to 53.69, 74.13 and 48.56 is: 67.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.69 : 74.13 = 48.56 : x
  2. Step 2: Convert to fraction form
    53.69/74.13 = 48.56/x
  3. Step 3: Cross multiply
    53.69x = 74.13 × 48.56
  4. Step 4: Simplify right side
    53.69x = 3,599.38
  5. Step 5: Solve for x
    x = 3,599.38/53.69
  6. Step 6: Final answer
    x = 67.05

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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.