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Finding the Fourth Proportional to 152.61, 228.79 and 106.83

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Solution

The fourth proportional to 152.61, 228.79 and 106.83 is: 160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.61 : 228.79 = 106.83 : x
  2. Step 2: Convert to fraction form
    152.61/228.79 = 106.83/x
  3. Step 3: Cross multiply
    152.61x = 228.79 × 106.83
  4. Step 4: Simplify right side
    152.61x = 24,441.64
  5. Step 5: Solve for x
    x = 24,441.64/152.61
  6. Step 6: Final answer
    x = 160.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.