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Finding the Fourth Proportional to 100.54, 149.96 and 97.58

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Solution

The fourth proportional to 100.54, 149.96 and 97.58 is: 145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.54 : 149.96 = 97.58 : x
  2. Step 2: Convert to fraction form
    100.54/149.96 = 97.58/x
  3. Step 3: Cross multiply
    100.54x = 149.96 × 97.58
  4. Step 4: Simplify right side
    100.54x = 14,633.10
  5. Step 5: Solve for x
    x = 14,633.10/100.54
  6. Step 6: Final answer
    x = 145.55

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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.