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Finding the Fourth Proportional to 155.40, 214.23 and 106.20

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Solution

The fourth proportional to 155.40, 214.23 and 106.20 is: 146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.40 : 214.23 = 106.20 : x
  2. Step 2: Convert to fraction form
    155.40/214.23 = 106.20/x
  3. Step 3: Cross multiply
    155.40x = 214.23 × 106.20
  4. Step 4: Simplify right side
    155.40x = 22,751.23
  5. Step 5: Solve for x
    x = 22,751.23/155.40
  6. Step 6: Final answer
    x = 146.40

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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.