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Finding the Fourth Proportional to 113.65, 157.01 and 105.01

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Solution

The fourth proportional to 113.65, 157.01 and 105.01 is: 145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.65 : 157.01 = 105.01 : x
  2. Step 2: Convert to fraction form
    113.65/157.01 = 105.01/x
  3. Step 3: Cross multiply
    113.65x = 157.01 × 105.01
  4. Step 4: Simplify right side
    113.65x = 16,487.10
  5. Step 5: Solve for x
    x = 16,487.10/113.65
  6. Step 6: Final answer
    x = 145.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.