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Finding the Fourth Proportional to 56.99, 85.47 and 16.40

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Solution

The fourth proportional to 56.99, 85.47 and 16.40 is: 24.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.99 : 85.47 = 16.40 : x
  2. Step 2: Convert to fraction form
    56.99/85.47 = 16.40/x
  3. Step 3: Cross multiply
    56.99x = 85.47 × 16.40
  4. Step 4: Simplify right side
    56.99x = 1,401.61
  5. Step 5: Solve for x
    x = 1,401.61/56.99
  6. Step 6: Final answer
    x = 24.60

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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.