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Finding the Fourth Proportional to 30.59, 45.80 and 25.79

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Solution

The fourth proportional to 30.59, 45.80 and 25.79 is: 38.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.59 : 45.80 = 25.79 : x
  2. Step 2: Convert to fraction form
    30.59/45.80 = 25.79/x
  3. Step 3: Cross multiply
    30.59x = 45.80 × 25.79
  4. Step 4: Simplify right side
    30.59x = 1,181.18
  5. Step 5: Solve for x
    x = 1,181.18/30.59
  6. Step 6: Final answer
    x = 38.61

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