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Finding the Fourth Proportional to 86.61, 119.54 and 53.84

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Solution

The fourth proportional to 86.61, 119.54 and 53.84 is: 74.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.61 : 119.54 = 53.84 : x
  2. Step 2: Convert to fraction form
    86.61/119.54 = 53.84/x
  3. Step 3: Cross multiply
    86.61x = 119.54 × 53.84
  4. Step 4: Simplify right side
    86.61x = 6,436.03
  5. Step 5: Solve for x
    x = 6,436.03/86.61
  6. Step 6: Final answer
    x = 74.31

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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.