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Finding the Fourth Proportional to 97.47, 133.29 and 96.06

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Solution

The fourth proportional to 97.47, 133.29 and 96.06 is: 131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.47 : 133.29 = 96.06 : x
  2. Step 2: Convert to fraction form
    97.47/133.29 = 96.06/x
  3. Step 3: Cross multiply
    97.47x = 133.29 × 96.06
  4. Step 4: Simplify right side
    97.47x = 12,803.84
  5. Step 5: Solve for x
    x = 12,803.84/97.47
  6. Step 6: Final answer
    x = 131.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.