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Finding the Fourth Proportional to 62.90, 94.38 and 30.38

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Solution

The fourth proportional to 62.90, 94.38 and 30.38 is: 45.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.90 : 94.38 = 30.38 : x
  2. Step 2: Convert to fraction form
    62.90/94.38 = 30.38/x
  3. Step 3: Cross multiply
    62.90x = 94.38 × 30.38
  4. Step 4: Simplify right side
    62.90x = 2,867.26
  5. Step 5: Solve for x
    x = 2,867.26/62.90
  6. Step 6: Final answer
    x = 45.58

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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.