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Finding the Fourth Proportional to 103.95, 155.74 and 58.22

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Solution

The fourth proportional to 103.95, 155.74 and 58.22 is: 87.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.95 : 155.74 = 58.22 : x
  2. Step 2: Convert to fraction form
    103.95/155.74 = 58.22/x
  3. Step 3: Cross multiply
    103.95x = 155.74 × 58.22
  4. Step 4: Simplify right side
    103.95x = 9,066.95
  5. Step 5: Solve for x
    x = 9,066.95/103.95
  6. Step 6: Final answer
    x = 87.22

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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.