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Finding the Fourth Proportional to 105.10, 157.65 and 53.67

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Solution

The fourth proportional to 105.10, 157.65 and 53.67 is: 80.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.10 : 157.65 = 53.67 : x
  2. Step 2: Convert to fraction form
    105.10/157.65 = 53.67/x
  3. Step 3: Cross multiply
    105.10x = 157.65 × 53.67
  4. Step 4: Simplify right side
    105.10x = 8,461.08
  5. Step 5: Solve for x
    x = 8,461.08/105.10
  6. Step 6: Final answer
    x = 80.51

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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.