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Finding the Fourth Proportional to 109.76, 164.58 and 55.70

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Solution

The fourth proportional to 109.76, 164.58 and 55.70 is: 83.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.76 : 164.58 = 55.70 : x
  2. Step 2: Convert to fraction form
    109.76/164.58 = 55.70/x
  3. Step 3: Cross multiply
    109.76x = 164.58 × 55.70
  4. Step 4: Simplify right side
    109.76x = 9,167.11
  5. Step 5: Solve for x
    x = 9,167.11/109.76
  6. Step 6: Final answer
    x = 83.52

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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.