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Finding the Fourth Proportional to 68, 101.53 and 57.68

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Solution

The fourth proportional to 68, 101.53 and 57.68 is: 86.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68 : 101.53 = 57.68 : x
  2. Step 2: Convert to fraction form
    68/101.53 = 57.68/x
  3. Step 3: Cross multiply
    68x = 101.53 × 57.68
  4. Step 4: Simplify right side
    68x = 5,856.25
  5. Step 5: Solve for x
    x = 5,856.25/68
  6. Step 6: Final answer
    x = 86.12

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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.