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Finding the Fourth Proportional to 105.07, 157.35 and 53.64

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Solution

The fourth proportional to 105.07, 157.35 and 53.64 is: 80.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.07 : 157.35 = 53.64 : x
  2. Step 2: Convert to fraction form
    105.07/157.35 = 53.64/x
  3. Step 3: Cross multiply
    105.07x = 157.35 × 53.64
  4. Step 4: Simplify right side
    105.07x = 8,440.25
  5. Step 5: Solve for x
    x = 8,440.25/105.07
  6. Step 6: Final answer
    x = 80.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.