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Finding the Fourth Proportional to 99.09, 149.29 and 96.66

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Solution

The fourth proportional to 99.09, 149.29 and 96.66 is: 145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.09 : 149.29 = 96.66 : x
  2. Step 2: Convert to fraction form
    99.09/149.29 = 96.66/x
  3. Step 3: Cross multiply
    99.09x = 149.29 × 96.66
  4. Step 4: Simplify right side
    99.09x = 14,430.13
  5. Step 5: Solve for x
    x = 14,430.13/99.09
  6. Step 6: Final answer
    x = 145.63

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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.