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Finding the Fourth Proportional to 68.47, 102.53 and 38.00

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Solution

The fourth proportional to 68.47, 102.53 and 38.00 is: 56.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.47 : 102.53 = 38.00 : x
  2. Step 2: Convert to fraction form
    68.47/102.53 = 38.00/x
  3. Step 3: Cross multiply
    68.47x = 102.53 × 38.00
  4. Step 4: Simplify right side
    68.47x = 3,895.44
  5. Step 5: Solve for x
    x = 3,895.44/68.47
  6. Step 6: Final answer
    x = 56.89

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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.