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Finding the Fourth Proportional to 103.36, 142.66 and 64.04

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Solution

The fourth proportional to 103.36, 142.66 and 64.04 is: 88.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.36 : 142.66 = 64.04 : x
  2. Step 2: Convert to fraction form
    103.36/142.66 = 64.04/x
  3. Step 3: Cross multiply
    103.36x = 142.66 × 64.04
  4. Step 4: Simplify right side
    103.36x = 9,135.95
  5. Step 5: Solve for x
    x = 9,135.95/103.36
  6. Step 6: Final answer
    x = 88.39

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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.