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Finding the Fourth Proportional to 105.02, 157.44 and 78.08

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Solution

The fourth proportional to 105.02, 157.44 and 78.08 is: 117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.02 : 157.44 = 78.08 : x
  2. Step 2: Convert to fraction form
    105.02/157.44 = 78.08/x
  3. Step 3: Cross multiply
    105.02x = 157.44 × 78.08
  4. Step 4: Simplify right side
    105.02x = 12,292.92
  5. Step 5: Solve for x
    x = 12,292.92/105.02
  6. Step 6: Final answer
    x = 117.05

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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.