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Finding the Fourth Proportional to 115.79, 174 and 70.16

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Solution

The fourth proportional to 115.79, 174 and 70.16 is: 105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.79 : 174 = 70.16 : x
  2. Step 2: Convert to fraction form
    115.79/174 = 70.16/x
  3. Step 3: Cross multiply
    115.79x = 174 × 70.16
  4. Step 4: Simplify right side
    115.79x = 12,207.84
  5. Step 5: Solve for x
    x = 12,207.84/115.79
  6. Step 6: Final answer
    x = 105.43

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Why These Related Problems?

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