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Finding the Fourth Proportional to 158.84, 238.22 and 72.13

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Solution

The fourth proportional to 158.84, 238.22 and 72.13 is: 108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.84 : 238.22 = 72.13 : x
  2. Step 2: Convert to fraction form
    158.84/238.22 = 72.13/x
  3. Step 3: Cross multiply
    158.84x = 238.22 × 72.13
  4. Step 4: Simplify right side
    158.84x = 17,181.26
  5. Step 5: Solve for x
    x = 17,181.26/158.84
  6. Step 6: Final answer
    x = 108.17

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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.