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Finding the Fourth Proportional to 103.21, 153.71 and 97

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Solution

The fourth proportional to 103.21, 153.71 and 97 is: 144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.21 : 153.71 = 97 : x
  2. Step 2: Convert to fraction form
    103.21/153.71 = 97/x
  3. Step 3: Cross multiply
    103.21x = 153.71 × 97
  4. Step 4: Simplify right side
    103.21x = 14,909.39
  5. Step 5: Solve for x
    x = 14,909.39/103.21
  6. Step 6: Final answer
    x = 144.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.