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Finding the Fourth Proportional to 114.63, 158.25 and 91.38

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Solution

The fourth proportional to 114.63, 158.25 and 91.38 is: 126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.63 : 158.25 = 91.38 : x
  2. Step 2: Convert to fraction form
    114.63/158.25 = 91.38/x
  3. Step 3: Cross multiply
    114.63x = 158.25 × 91.38
  4. Step 4: Simplify right side
    114.63x = 14,460.89
  5. Step 5: Solve for x
    x = 14,460.89/114.63
  6. Step 6: Final answer
    x = 126.15

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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.