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Finding the Fourth Proportional to 56.68, 85.03 and 16.10

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Solution

The fourth proportional to 56.68, 85.03 and 16.10 is: 24.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.68 : 85.03 = 16.10 : x
  2. Step 2: Convert to fraction form
    56.68/85.03 = 16.10/x
  3. Step 3: Cross multiply
    56.68x = 85.03 × 16.10
  4. Step 4: Simplify right side
    56.68x = 1,369.02
  5. Step 5: Solve for x
    x = 1,369.02/56.68
  6. Step 6: Final answer
    x = 24.15

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Why These Related Problems?

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