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Finding the Fourth Proportional to 114.10, 157.46 and 77.20

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Solution

The fourth proportional to 114.10, 157.46 and 77.20 is: 106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.10 : 157.46 = 77.20 : x
  2. Step 2: Convert to fraction form
    114.10/157.46 = 77.20/x
  3. Step 3: Cross multiply
    114.10x = 157.46 × 77.20
  4. Step 4: Simplify right side
    114.10x = 12,155.91
  5. Step 5: Solve for x
    x = 12,155.91/114.10
  6. Step 6: Final answer
    x = 106.54

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Why These Related Problems?

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