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Finding the Fourth Proportional to 103.52, 142.80 and 66.64

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Solution

The fourth proportional to 103.52, 142.80 and 66.64 is: 91.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.52 : 142.80 = 66.64 : x
  2. Step 2: Convert to fraction form
    103.52/142.80 = 66.64/x
  3. Step 3: Cross multiply
    103.52x = 142.80 × 66.64
  4. Step 4: Simplify right side
    103.52x = 9,516.19
  5. Step 5: Solve for x
    x = 9,516.19/103.52
  6. Step 6: Final answer
    x = 91.93

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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.