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Finding the Fourth Proportional to 113.16, 156.17 and 64.03

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Solution

The fourth proportional to 113.16, 156.17 and 64.03 is: 88.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.16 : 156.17 = 64.03 : x
  2. Step 2: Convert to fraction form
    113.16/156.17 = 64.03/x
  3. Step 3: Cross multiply
    113.16x = 156.17 × 64.03
  4. Step 4: Simplify right side
    113.16x = 9,999.57
  5. Step 5: Solve for x
    x = 9,999.57/113.16
  6. Step 6: Final answer
    x = 88.37

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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.