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Finding the Fourth Proportional to 106.64, 159.80 and 93.08

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Solution

The fourth proportional to 106.64, 159.80 and 93.08 is: 139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.64 : 159.80 = 93.08 : x
  2. Step 2: Convert to fraction form
    106.64/159.80 = 93.08/x
  3. Step 3: Cross multiply
    106.64x = 159.80 × 93.08
  4. Step 4: Simplify right side
    106.64x = 14,874.18
  5. Step 5: Solve for x
    x = 14,874.18/106.64
  6. Step 6: Final answer
    x = 139.48

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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.