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Finding the Fourth Proportional to 133.64, 184.49 and 106.10

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Solution

The fourth proportional to 133.64, 184.49 and 106.10 is: 146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.64 : 184.49 = 106.10 : x
  2. Step 2: Convert to fraction form
    133.64/184.49 = 106.10/x
  3. Step 3: Cross multiply
    133.64x = 184.49 × 106.10
  4. Step 4: Simplify right side
    133.64x = 19,574.39
  5. Step 5: Solve for x
    x = 19,574.39/133.64
  6. Step 6: Final answer
    x = 146.47

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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.