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Finding the Fourth Proportional to 155.16, 214.06 and 106.02

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Solution

The fourth proportional to 155.16, 214.06 and 106.02 is: 146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.16 : 214.06 = 106.02 : x
  2. Step 2: Convert to fraction form
    155.16/214.06 = 106.02/x
  3. Step 3: Cross multiply
    155.16x = 214.06 × 106.02
  4. Step 4: Simplify right side
    155.16x = 22,694.64
  5. Step 5: Solve for x
    x = 22,694.64/155.16
  6. Step 6: Final answer
    x = 146.27

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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.