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Finding the Fourth Proportional to 84.04, 115.89 and 65.59

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Solution

The fourth proportional to 84.04, 115.89 and 65.59 is: 90.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.04 : 115.89 = 65.59 : x
  2. Step 2: Convert to fraction form
    84.04/115.89 = 65.59/x
  3. Step 3: Cross multiply
    84.04x = 115.89 × 65.59
  4. Step 4: Simplify right side
    84.04x = 7,601.23
  5. Step 5: Solve for x
    x = 7,601.23/84.04
  6. Step 6: Final answer
    x = 90.45

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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.