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Finding the Fourth Proportional to 214.72, 322.06 and 106.58

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Solution

The fourth proportional to 214.72, 322.06 and 106.58 is: 159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.72 : 322.06 = 106.58 : x
  2. Step 2: Convert to fraction form
    214.72/322.06 = 106.58/x
  3. Step 3: Cross multiply
    214.72x = 322.06 × 106.58
  4. Step 4: Simplify right side
    214.72x = 34,325.15
  5. Step 5: Solve for x
    x = 34,325.15/214.72
  6. Step 6: Final answer
    x = 159.86

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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.