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Finding the Fourth Proportional to 114.02, 157.14 and 77.07

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Solution

The fourth proportional to 114.02, 157.14 and 77.07 is: 106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.02 : 157.14 = 77.07 : x
  2. Step 2: Convert to fraction form
    114.02/157.14 = 77.07/x
  3. Step 3: Cross multiply
    114.02x = 157.14 × 77.07
  4. Step 4: Simplify right side
    114.02x = 12,110.78
  5. Step 5: Solve for x
    x = 12,110.78/114.02
  6. Step 6: Final answer
    x = 106.22

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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.