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Finding the Fourth Proportional to 68.52, 102.78 and 30.02

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Solution

The fourth proportional to 68.52, 102.78 and 30.02 is: 45.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.52 : 102.78 = 30.02 : x
  2. Step 2: Convert to fraction form
    68.52/102.78 = 30.02/x
  3. Step 3: Cross multiply
    68.52x = 102.78 × 30.02
  4. Step 4: Simplify right side
    68.52x = 3,085.46
  5. Step 5: Solve for x
    x = 3,085.46/68.52
  6. Step 6: Final answer
    x = 45.03

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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.