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Finding the Fourth Proportional to 155.99, 215.01 and 106.18

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Solution

The fourth proportional to 155.99, 215.01 and 106.18 is: 146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.99 : 215.01 = 106.18 : x
  2. Step 2: Convert to fraction form
    155.99/215.01 = 106.18/x
  3. Step 3: Cross multiply
    155.99x = 215.01 × 106.18
  4. Step 4: Simplify right side
    155.99x = 22,829.76
  5. Step 5: Solve for x
    x = 22,829.76/155.99
  6. Step 6: Final answer
    x = 146.35

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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.