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Finding the Fourth Proportional to 114.92, 158.64 and 91.64

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Solution

The fourth proportional to 114.92, 158.64 and 91.64 is: 126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.92 : 158.64 = 91.64 : x
  2. Step 2: Convert to fraction form
    114.92/158.64 = 91.64/x
  3. Step 3: Cross multiply
    114.92x = 158.64 × 91.64
  4. Step 4: Simplify right side
    114.92x = 14,537.77
  5. Step 5: Solve for x
    x = 14,537.77/114.92
  6. Step 6: Final answer
    x = 126.50

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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.