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Finding the Fourth Proportional to 103.36, 155.06 and 45.59

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Solution

The fourth proportional to 103.36, 155.06 and 45.59 is: 68.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.36 : 155.06 = 45.59 : x
  2. Step 2: Convert to fraction form
    103.36/155.06 = 45.59/x
  3. Step 3: Cross multiply
    103.36x = 155.06 × 45.59
  4. Step 4: Simplify right side
    103.36x = 7,069.77
  5. Step 5: Solve for x
    x = 7,069.77/103.36
  6. Step 6: Final answer
    x = 68.40

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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.