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Finding the Fourth Proportional to 114, 157.35 and 77.22

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Solution

The fourth proportional to 114, 157.35 and 77.22 is: 106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114 : 157.35 = 77.22 : x
  2. Step 2: Convert to fraction form
    114/157.35 = 77.22/x
  3. Step 3: Cross multiply
    114x = 157.35 × 77.22
  4. Step 4: Simplify right side
    114x = 12,150.57
  5. Step 5: Solve for x
    x = 12,150.57/114
  6. Step 6: Final answer
    x = 106.58

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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.