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Finding the Fourth Proportional to 155.17, 232.35 and 106.30

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Solution

The fourth proportional to 155.17, 232.35 and 106.30 is: 159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.17 : 232.35 = 106.30 : x
  2. Step 2: Convert to fraction form
    155.17/232.35 = 106.30/x
  3. Step 3: Cross multiply
    155.17x = 232.35 × 106.30
  4. Step 4: Simplify right side
    155.17x = 24,698.81
  5. Step 5: Solve for x
    x = 24,698.81/155.17
  6. Step 6: Final answer
    x = 159.17

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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.