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Finding the Fourth Proportional to 150.42, 207.59 and 106.77

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Solution

The fourth proportional to 150.42, 207.59 and 106.77 is: 147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.42 : 207.59 = 106.77 : x
  2. Step 2: Convert to fraction form
    150.42/207.59 = 106.77/x
  3. Step 3: Cross multiply
    150.42x = 207.59 × 106.77
  4. Step 4: Simplify right side
    150.42x = 22,164.38
  5. Step 5: Solve for x
    x = 22,164.38/150.42
  6. Step 6: Final answer
    x = 147.35

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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.