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Finding the Fourth Proportional to 97.10, 134.07 and 74.93

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Solution

The fourth proportional to 97.10, 134.07 and 74.93 is: 103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.10 : 134.07 = 74.93 : x
  2. Step 2: Convert to fraction form
    97.10/134.07 = 74.93/x
  3. Step 3: Cross multiply
    97.10x = 134.07 × 74.93
  4. Step 4: Simplify right side
    97.10x = 10,045.87
  5. Step 5: Solve for x
    x = 10,045.87/97.10
  6. Step 6: Final answer
    x = 103.46

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