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Finding the Fourth Proportional to 32.38, 48.90 and 32.38

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Solution

The fourth proportional to 32.38, 48.90 and 32.38 is: 48.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.38 : 48.90 = 32.38 : x
  2. Step 2: Convert to fraction form
    32.38/48.90 = 32.38/x
  3. Step 3: Cross multiply
    32.38x = 48.90 × 32.38
  4. Step 4: Simplify right side
    32.38x = 1,583.38
  5. Step 5: Solve for x
    x = 1,583.38/32.38
  6. Step 6: Final answer
    x = 48.90

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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.