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Finding the Fourth Proportional to 103.58, 154.91 and 74.52

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Solution

The fourth proportional to 103.58, 154.91 and 74.52 is: 111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.58 : 154.91 = 74.52 : x
  2. Step 2: Convert to fraction form
    103.58/154.91 = 74.52/x
  3. Step 3: Cross multiply
    103.58x = 154.91 × 74.52
  4. Step 4: Simplify right side
    103.58x = 11,544.08
  5. Step 5: Solve for x
    x = 11,544.08/103.58
  6. Step 6: Final answer
    x = 111.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.