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Finding the Fourth Proportional to 114.13, 171.06 and 45.63

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Solution

The fourth proportional to 114.13, 171.06 and 45.63 is: 68.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.13 : 171.06 = 45.63 : x
  2. Step 2: Convert to fraction form
    114.13/171.06 = 45.63/x
  3. Step 3: Cross multiply
    114.13x = 171.06 × 45.63
  4. Step 4: Simplify right side
    114.13x = 7,806.01
  5. Step 5: Solve for x
    x = 7,806.01/114.13
  6. Step 6: Final answer
    x = 68.40

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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.