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Finding the Fourth Proportional to 49.59, 74.35 and 22.51

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Solution

The fourth proportional to 49.59, 74.35 and 22.51 is: 33.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.59 : 74.35 = 22.51 : x
  2. Step 2: Convert to fraction form
    49.59/74.35 = 22.51/x
  3. Step 3: Cross multiply
    49.59x = 74.35 × 22.51
  4. Step 4: Simplify right side
    49.59x = 1,673.13
  5. Step 5: Solve for x
    x = 1,673.13/49.59
  6. Step 6: Final answer
    x = 33.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.