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Finding the Fourth Proportional to 114.19, 157.68 and 85.03

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Solution

The fourth proportional to 114.19, 157.68 and 85.03 is: 117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.19 : 157.68 = 85.03 : x
  2. Step 2: Convert to fraction form
    114.19/157.68 = 85.03/x
  3. Step 3: Cross multiply
    114.19x = 157.68 × 85.03
  4. Step 4: Simplify right side
    114.19x = 13,407.14
  5. Step 5: Solve for x
    x = 13,407.14/114.19
  6. Step 6: Final answer
    x = 117.41

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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.