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Finding the Fourth Proportional to 162.84, 224.36 and 116.12

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Solution

The fourth proportional to 162.84, 224.36 and 116.12 is: 159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.84 : 224.36 = 116.12 : x
  2. Step 2: Convert to fraction form
    162.84/224.36 = 116.12/x
  3. Step 3: Cross multiply
    162.84x = 224.36 × 116.12
  4. Step 4: Simplify right side
    162.84x = 26,052.68
  5. Step 5: Solve for x
    x = 26,052.68/162.84
  6. Step 6: Final answer
    x = 159.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.