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Finding the Fourth Proportional to 158.40, 218.64 and 106

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Solution

The fourth proportional to 158.40, 218.64 and 106 is: 146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.40 : 218.64 = 106 : x
  2. Step 2: Convert to fraction form
    158.40/218.64 = 106/x
  3. Step 3: Cross multiply
    158.40x = 218.64 × 106
  4. Step 4: Simplify right side
    158.40x = 23,175.84
  5. Step 5: Solve for x
    x = 23,175.84/158.40
  6. Step 6: Final answer
    x = 146.31

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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.