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Finding the Fourth Proportional to 100.80, 150.46 and 97.42

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Solution

The fourth proportional to 100.80, 150.46 and 97.42 is: 145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.80 : 150.46 = 97.42 : x
  2. Step 2: Convert to fraction form
    100.80/150.46 = 97.42/x
  3. Step 3: Cross multiply
    100.80x = 150.46 × 97.42
  4. Step 4: Simplify right side
    100.80x = 14,657.81
  5. Step 5: Solve for x
    x = 14,657.81/100.80
  6. Step 6: Final answer
    x = 145.41

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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.