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Finding the Fourth Proportional to 114.69, 158.16 and 73.23

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Solution

The fourth proportional to 114.69, 158.16 and 73.23 is: 100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.69 : 158.16 = 73.23 : x
  2. Step 2: Convert to fraction form
    114.69/158.16 = 73.23/x
  3. Step 3: Cross multiply
    114.69x = 158.16 × 73.23
  4. Step 4: Simplify right side
    114.69x = 11,582.06
  5. Step 5: Solve for x
    x = 11,582.06/114.69
  6. Step 6: Final answer
    x = 100.99

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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.