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Finding the Fourth Proportional to 151.85, 228.06 and 106.58

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Solution

The fourth proportional to 151.85, 228.06 and 106.58 is: 160.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.85 : 228.06 = 106.58 : x
  2. Step 2: Convert to fraction form
    151.85/228.06 = 106.58/x
  3. Step 3: Cross multiply
    151.85x = 228.06 × 106.58
  4. Step 4: Simplify right side
    151.85x = 24,305.49
  5. Step 5: Solve for x
    x = 24,305.49/151.85
  6. Step 6: Final answer
    x = 160.07

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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.