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Finding the Fourth Proportional to 106.34, 159.34 and 65.64

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Solution

The fourth proportional to 106.34, 159.34 and 65.64 is: 98.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.34 : 159.34 = 65.64 : x
  2. Step 2: Convert to fraction form
    106.34/159.34 = 65.64/x
  3. Step 3: Cross multiply
    106.34x = 159.34 × 65.64
  4. Step 4: Simplify right side
    106.34x = 10,459.08
  5. Step 5: Solve for x
    x = 10,459.08/106.34
  6. Step 6: Final answer
    x = 98.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.