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Finding the Fourth Proportional to 85.65, 118.23 and 64.93

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Solution

The fourth proportional to 85.65, 118.23 and 64.93 is: 89.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.65 : 118.23 = 64.93 : x
  2. Step 2: Convert to fraction form
    85.65/118.23 = 64.93/x
  3. Step 3: Cross multiply
    85.65x = 118.23 × 64.93
  4. Step 4: Simplify right side
    85.65x = 7,676.08
  5. Step 5: Solve for x
    x = 7,676.08/85.65
  6. Step 6: Final answer
    x = 89.62

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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.