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Finding the Fourth Proportional to 67.68, 101.56 and 58.64

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Solution

The fourth proportional to 67.68, 101.56 and 58.64 is: 87.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.68 : 101.56 = 58.64 : x
  2. Step 2: Convert to fraction form
    67.68/101.56 = 58.64/x
  3. Step 3: Cross multiply
    67.68x = 101.56 × 58.64
  4. Step 4: Simplify right side
    67.68x = 5,955.48
  5. Step 5: Solve for x
    x = 5,955.48/67.68
  6. Step 6: Final answer
    x = 87.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.