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Finding the Fourth Proportional to 85.90, 118.54 and 64.89

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Solution

The fourth proportional to 85.90, 118.54 and 64.89 is: 89.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.90 : 118.54 = 64.89 : x
  2. Step 2: Convert to fraction form
    85.90/118.54 = 64.89/x
  3. Step 3: Cross multiply
    85.90x = 118.54 × 64.89
  4. Step 4: Simplify right side
    85.90x = 7,692.06
  5. Step 5: Solve for x
    x = 7,692.06/85.90
  6. Step 6: Final answer
    x = 89.55

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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.