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Finding the Fourth Proportional to 79.74, 109.83 and 64.02

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Solution

The fourth proportional to 79.74, 109.83 and 64.02 is: 88.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.74 : 109.83 = 64.02 : x
  2. Step 2: Convert to fraction form
    79.74/109.83 = 64.02/x
  3. Step 3: Cross multiply
    79.74x = 109.83 × 64.02
  4. Step 4: Simplify right side
    79.74x = 7,031.32
  5. Step 5: Solve for x
    x = 7,031.32/79.74
  6. Step 6: Final answer
    x = 88.18

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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.