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Finding the Fourth Proportional to 68.76, 102.64 and 58.54

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Solution

The fourth proportional to 68.76, 102.64 and 58.54 is: 87.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.76 : 102.64 = 58.54 : x
  2. Step 2: Convert to fraction form
    68.76/102.64 = 58.54/x
  3. Step 3: Cross multiply
    68.76x = 102.64 × 58.54
  4. Step 4: Simplify right side
    68.76x = 6,008.25
  5. Step 5: Solve for x
    x = 6,008.25/68.76
  6. Step 6: Final answer
    x = 87.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.