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Finding the Fourth Proportional to 113.35, 156.43 and 64.23

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Solution

The fourth proportional to 113.35, 156.43 and 64.23 is: 88.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.35 : 156.43 = 64.23 : x
  2. Step 2: Convert to fraction form
    113.35/156.43 = 64.23/x
  3. Step 3: Cross multiply
    113.35x = 156.43 × 64.23
  4. Step 4: Simplify right side
    113.35x = 10,047.65
  5. Step 5: Solve for x
    x = 10,047.65/113.35
  6. Step 6: Final answer
    x = 88.64

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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.