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Finding the Fourth Proportional to 113.82, 157.08 and 64.71

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Solution

The fourth proportional to 113.82, 157.08 and 64.71 is: 89.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.82 : 157.08 = 64.71 : x
  2. Step 2: Convert to fraction form
    113.82/157.08 = 64.71/x
  3. Step 3: Cross multiply
    113.82x = 157.08 × 64.71
  4. Step 4: Simplify right side
    113.82x = 10,164.65
  5. Step 5: Solve for x
    x = 10,164.65/113.82
  6. Step 6: Final answer
    x = 89.30

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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.