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Finding the Fourth Proportional to 155.13, 213.95 and 106.00

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Solution

The fourth proportional to 155.13, 213.95 and 106.00 is: 146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.13 : 213.95 = 106.00 : x
  2. Step 2: Convert to fraction form
    155.13/213.95 = 106.00/x
  3. Step 3: Cross multiply
    155.13x = 213.95 × 106.00
  4. Step 4: Simplify right side
    155.13x = 22,678.43
  5. Step 5: Solve for x
    x = 22,678.43/155.13
  6. Step 6: Final answer
    x = 146.19

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Why These Related Problems?

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