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Finding the Fourth Proportional to 105.02, 157.53 and 47.23

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Solution

The fourth proportional to 105.02, 157.53 and 47.23 is: 70.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.02 : 157.53 = 47.23 : x
  2. Step 2: Convert to fraction form
    105.02/157.53 = 47.23/x
  3. Step 3: Cross multiply
    105.02x = 157.53 × 47.23
  4. Step 4: Simplify right side
    105.02x = 7,440.14
  5. Step 5: Solve for x
    x = 7,440.14/105.02
  6. Step 6: Final answer
    x = 70.85

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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.