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Finding the Fourth Proportional to 115.02, 157.85 and 105.78

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Solution

The fourth proportional to 115.02, 157.85 and 105.78 is: 145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.02 : 157.85 = 105.78 : x
  2. Step 2: Convert to fraction form
    115.02/157.85 = 105.78/x
  3. Step 3: Cross multiply
    115.02x = 157.85 × 105.78
  4. Step 4: Simplify right side
    115.02x = 16,696.84
  5. Step 5: Solve for x
    x = 16,696.84/115.02
  6. Step 6: Final answer
    x = 145.16

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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.