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Finding the Fourth Proportional to 56.94, 85.40 and 16.35

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Solution

The fourth proportional to 56.94, 85.40 and 16.35 is: 24.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.94 : 85.40 = 16.35 : x
  2. Step 2: Convert to fraction form
    56.94/85.40 = 16.35/x
  3. Step 3: Cross multiply
    56.94x = 85.40 × 16.35
  4. Step 4: Simplify right side
    56.94x = 1,396.21
  5. Step 5: Solve for x
    x = 1,396.21/56.94
  6. Step 6: Final answer
    x = 24.52

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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.