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Finding the Fourth Proportional to 114.51, 157.97 and 73.03

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Solution

The fourth proportional to 114.51, 157.97 and 73.03 is: 100.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.51 : 157.97 = 73.03 : x
  2. Step 2: Convert to fraction form
    114.51/157.97 = 73.03/x
  3. Step 3: Cross multiply
    114.51x = 157.97 × 73.03
  4. Step 4: Simplify right side
    114.51x = 11,536.55
  5. Step 5: Solve for x
    x = 11,536.55/114.51
  6. Step 6: Final answer
    x = 100.75

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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.