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Finding the Fourth Proportional to 68.64, 94.76 and 52.34

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Solution

The fourth proportional to 68.64, 94.76 and 52.34 is: 72.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.64 : 94.76 = 52.34 : x
  2. Step 2: Convert to fraction form
    68.64/94.76 = 52.34/x
  3. Step 3: Cross multiply
    68.64x = 94.76 × 52.34
  4. Step 4: Simplify right side
    68.64x = 4,959.74
  5. Step 5: Solve for x
    x = 4,959.74/68.64
  6. Step 6: Final answer
    x = 72.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.