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Finding the Fourth Proportional to 85.53, 128.33 and 31.47

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Solution

The fourth proportional to 85.53, 128.33 and 31.47 is: 47.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.53 : 128.33 = 31.47 : x
  2. Step 2: Convert to fraction form
    85.53/128.33 = 31.47/x
  3. Step 3: Cross multiply
    85.53x = 128.33 × 31.47
  4. Step 4: Simplify right side
    85.53x = 4,038.55
  5. Step 5: Solve for x
    x = 4,038.55/85.53
  6. Step 6: Final answer
    x = 47.22

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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.