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Finding the Fourth Proportional to 100.46, 150.04 and 97.58

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Solution

The fourth proportional to 100.46, 150.04 and 97.58 is: 145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.46 : 150.04 = 97.58 : x
  2. Step 2: Convert to fraction form
    100.46/150.04 = 97.58/x
  3. Step 3: Cross multiply
    100.46x = 150.04 × 97.58
  4. Step 4: Simplify right side
    100.46x = 14,640.90
  5. Step 5: Solve for x
    x = 14,640.90/100.46
  6. Step 6: Final answer
    x = 145.74

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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.