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Finding the Fourth Proportional to 30.68, 45.98 and 25.40

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Solution

The fourth proportional to 30.68, 45.98 and 25.40 is: 38.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.68 : 45.98 = 25.40 : x
  2. Step 2: Convert to fraction form
    30.68/45.98 = 25.40/x
  3. Step 3: Cross multiply
    30.68x = 45.98 × 25.40
  4. Step 4: Simplify right side
    30.68x = 1,167.89
  5. Step 5: Solve for x
    x = 1,167.89/30.68
  6. Step 6: Final answer
    x = 38.07

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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.