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Finding the Fourth Proportional to 97.19, 145.85 and 70.19

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Solution

The fourth proportional to 97.19, 145.85 and 70.19 is: 105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.19 : 145.85 = 70.19 : x
  2. Step 2: Convert to fraction form
    97.19/145.85 = 70.19/x
  3. Step 3: Cross multiply
    97.19x = 145.85 × 70.19
  4. Step 4: Simplify right side
    97.19x = 10,236.13
  5. Step 5: Solve for x
    x = 10,236.13/97.19
  6. Step 6: Final answer
    x = 105.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.