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Finding the Fourth Proportional to 155.87, 215.27 and 106.01

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Solution

The fourth proportional to 155.87, 215.27 and 106.01 is: 146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.87 : 215.27 = 106.01 : x
  2. Step 2: Convert to fraction form
    155.87/215.27 = 106.01/x
  3. Step 3: Cross multiply
    155.87x = 215.27 × 106.01
  4. Step 4: Simplify right side
    155.87x = 22,820.77
  5. Step 5: Solve for x
    x = 22,820.77/155.87
  6. Step 6: Final answer
    x = 146.41

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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.