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Finding the Fourth Proportional to 30.74, 45.90 and 30.23

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Solution

The fourth proportional to 30.74, 45.90 and 30.23 is: 45.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.74 : 45.90 = 30.23 : x
  2. Step 2: Convert to fraction form
    30.74/45.90 = 30.23/x
  3. Step 3: Cross multiply
    30.74x = 45.90 × 30.23
  4. Step 4: Simplify right side
    30.74x = 1,387.50
  5. Step 5: Solve for x
    x = 1,387.50/30.74
  6. Step 6: Final answer
    x = 45.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.