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Finding the Fourth Proportional to 69.58, 103.82 and 61.01

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Solution

The fourth proportional to 69.58, 103.82 and 61.01 is: 91.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.58 : 103.82 = 61.01 : x
  2. Step 2: Convert to fraction form
    69.58/103.82 = 61.01/x
  3. Step 3: Cross multiply
    69.58x = 103.82 × 61.01
  4. Step 4: Simplify right side
    69.58x = 6,334.06
  5. Step 5: Solve for x
    x = 6,334.06/69.58
  6. Step 6: Final answer
    x = 91.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.