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Finding the Fourth Proportional to 29.90, 45.08 and 28.25

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Solution

The fourth proportional to 29.90, 45.08 and 28.25 is: 42.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.90 : 45.08 = 28.25 : x
  2. Step 2: Convert to fraction form
    29.90/45.08 = 28.25/x
  3. Step 3: Cross multiply
    29.90x = 45.08 × 28.25
  4. Step 4: Simplify right side
    29.90x = 1,273.48
  5. Step 5: Solve for x
    x = 1,273.48/29.90
  6. Step 6: Final answer
    x = 42.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.