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Finding the Fourth Proportional to 85.26, 117.55 and 64.47

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Solution

The fourth proportional to 85.26, 117.55 and 64.47 is: 88.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.26 : 117.55 = 64.47 : x
  2. Step 2: Convert to fraction form
    85.26/117.55 = 64.47/x
  3. Step 3: Cross multiply
    85.26x = 117.55 × 64.47
  4. Step 4: Simplify right side
    85.26x = 7,578.45
  5. Step 5: Solve for x
    x = 7,578.45/85.26
  6. Step 6: Final answer
    x = 88.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.