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Finding the Fourth Proportional to 105.63, 157.63 and 92.64

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Solution

The fourth proportional to 105.63, 157.63 and 92.64 is: 138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.63 : 157.63 = 92.64 : x
  2. Step 2: Convert to fraction form
    105.63/157.63 = 92.64/x
  3. Step 3: Cross multiply
    105.63x = 157.63 × 92.64
  4. Step 4: Simplify right side
    105.63x = 14,602.84
  5. Step 5: Solve for x
    x = 14,602.84/105.63
  6. Step 6: Final answer
    x = 138.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.