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Finding the Fourth Proportional to 96.66, 133.48 and 72.06

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Solution

The fourth proportional to 96.66, 133.48 and 72.06 is: 99.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.66 : 133.48 = 72.06 : x
  2. Step 2: Convert to fraction form
    96.66/133.48 = 72.06/x
  3. Step 3: Cross multiply
    96.66x = 133.48 × 72.06
  4. Step 4: Simplify right side
    96.66x = 9,618.29
  5. Step 5: Solve for x
    x = 9,618.29/96.66
  6. Step 6: Final answer
    x = 99.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.