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Finding the Fourth Proportional to 113.76, 157 and 64.65

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Solution

The fourth proportional to 113.76, 157 and 64.65 is: 89.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.76 : 157 = 64.65 : x
  2. Step 2: Convert to fraction form
    113.76/157 = 64.65/x
  3. Step 3: Cross multiply
    113.76x = 157 × 64.65
  4. Step 4: Simplify right side
    113.76x = 10,150.05
  5. Step 5: Solve for x
    x = 10,150.05/113.76
  6. Step 6: Final answer
    x = 89.22

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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.