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Finding the Fourth Proportional to 56.89, 85.32 and 22.64

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Solution

The fourth proportional to 56.89, 85.32 and 22.64 is: 33.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.89 : 85.32 = 22.64 : x
  2. Step 2: Convert to fraction form
    56.89/85.32 = 22.64/x
  3. Step 3: Cross multiply
    56.89x = 85.32 × 22.64
  4. Step 4: Simplify right side
    56.89x = 1,931.11
  5. Step 5: Solve for x
    x = 1,931.11/56.89
  6. Step 6: Final answer
    x = 33.94

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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.