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Finding the Fourth Proportional to 103.94, 156.07 and 65.48

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Solution

The fourth proportional to 103.94, 156.07 and 65.48 is: 98.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.94 : 156.07 = 65.48 : x
  2. Step 2: Convert to fraction form
    103.94/156.07 = 65.48/x
  3. Step 3: Cross multiply
    103.94x = 156.07 × 65.48
  4. Step 4: Simplify right side
    103.94x = 10,219.46
  5. Step 5: Solve for x
    x = 10,219.46/103.94
  6. Step 6: Final answer
    x = 98.32

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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.