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Finding the Fourth Proportional to 96.62, 145.73 and 91.00

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Solution

The fourth proportional to 96.62, 145.73 and 91.00 is: 137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.62 : 145.73 = 91.00 : x
  2. Step 2: Convert to fraction form
    96.62/145.73 = 91.00/x
  3. Step 3: Cross multiply
    96.62x = 145.73 × 91.00
  4. Step 4: Simplify right side
    96.62x = 13,260.61
  5. Step 5: Solve for x
    x = 13,260.61/96.62
  6. Step 6: Final answer
    x = 137.25

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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.