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Finding the Fourth Proportional to 100.07, 150.63 and 90.64

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Solution

The fourth proportional to 100.07, 150.63 and 90.64 is: 136.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.07 : 150.63 = 90.64 : x
  2. Step 2: Convert to fraction form
    100.07/150.63 = 90.64/x
  3. Step 3: Cross multiply
    100.07x = 150.63 × 90.64
  4. Step 4: Simplify right side
    100.07x = 13,652.73
  5. Step 5: Solve for x
    x = 13,652.73/100.07
  6. Step 6: Final answer
    x = 136.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.