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Finding the Fourth Proportional to 101.08, 151.32 and 90.66

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Solution

The fourth proportional to 101.08, 151.32 and 90.66 is: 135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.08 : 151.32 = 90.66 : x
  2. Step 2: Convert to fraction form
    101.08/151.32 = 90.66/x
  3. Step 3: Cross multiply
    101.08x = 151.32 × 90.66
  4. Step 4: Simplify right side
    101.08x = 13,718.67
  5. Step 5: Solve for x
    x = 13,718.67/101.08
  6. Step 6: Final answer
    x = 135.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.