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Finding the Fourth Proportional to 105.37, 157.90 and 62.53

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Solution

The fourth proportional to 105.37, 157.90 and 62.53 is: 93.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.37 : 157.90 = 62.53 : x
  2. Step 2: Convert to fraction form
    105.37/157.90 = 62.53/x
  3. Step 3: Cross multiply
    105.37x = 157.90 × 62.53
  4. Step 4: Simplify right side
    105.37x = 9,873.49
  5. Step 5: Solve for x
    x = 9,873.49/105.37
  6. Step 6: Final answer
    x = 93.70

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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.