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Finding the Fourth Proportional to 68.99, 102.87 and 57.51

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Solution

The fourth proportional to 68.99, 102.87 and 57.51 is: 85.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.99 : 102.87 = 57.51 : x
  2. Step 2: Convert to fraction form
    68.99/102.87 = 57.51/x
  3. Step 3: Cross multiply
    68.99x = 102.87 × 57.51
  4. Step 4: Simplify right side
    68.99x = 5,916.05
  5. Step 5: Solve for x
    x = 5,916.05/68.99
  6. Step 6: Final answer
    x = 85.76

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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.