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Finding the Fourth Proportional to 105.48, 157 and 103.24

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Solution

The fourth proportional to 105.48, 157 and 103.24 is: 153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.48 : 157 = 103.24 : x
  2. Step 2: Convert to fraction form
    105.48/157 = 103.24/x
  3. Step 3: Cross multiply
    105.48x = 157 × 103.24
  4. Step 4: Simplify right side
    105.48x = 16,208.68
  5. Step 5: Solve for x
    x = 16,208.68/105.48
  6. Step 6: Final answer
    x = 153.67

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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.