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Finding the Fourth Proportional to 85.53, 128.21 and 31.39

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Solution

The fourth proportional to 85.53, 128.21 and 31.39 is: 47.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.53 : 128.21 = 31.39 : x
  2. Step 2: Convert to fraction form
    85.53/128.21 = 31.39/x
  3. Step 3: Cross multiply
    85.53x = 128.21 × 31.39
  4. Step 4: Simplify right side
    85.53x = 4,024.51
  5. Step 5: Solve for x
    x = 4,024.51/85.53
  6. Step 6: Final answer
    x = 47.05

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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.