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Finding the Fourth Proportional to 53.80, 74.08 and 49.76

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Solution

The fourth proportional to 53.80, 74.08 and 49.76 is: 68.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.80 : 74.08 = 49.76 : x
  2. Step 2: Convert to fraction form
    53.80/74.08 = 49.76/x
  3. Step 3: Cross multiply
    53.80x = 74.08 × 49.76
  4. Step 4: Simplify right side
    53.80x = 3,686.22
  5. Step 5: Solve for x
    x = 3,686.22/53.80
  6. Step 6: Final answer
    x = 68.52

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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.