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Finding the Fourth Proportional to 100.42, 149.54 and 97.84

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Solution

The fourth proportional to 100.42, 149.54 and 97.84 is: 145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.42 : 149.54 = 97.84 : x
  2. Step 2: Convert to fraction form
    100.42/149.54 = 97.84/x
  3. Step 3: Cross multiply
    100.42x = 149.54 × 97.84
  4. Step 4: Simplify right side
    100.42x = 14,630.99
  5. Step 5: Solve for x
    x = 14,630.99/100.42
  6. Step 6: Final answer
    x = 145.70

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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.