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Finding the Fourth Proportional to 113.29, 156.34 and 64.16

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Solution

The fourth proportional to 113.29, 156.34 and 64.16 is: 88.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.29 : 156.34 = 64.16 : x
  2. Step 2: Convert to fraction form
    113.29/156.34 = 64.16/x
  3. Step 3: Cross multiply
    113.29x = 156.34 × 64.16
  4. Step 4: Simplify right side
    113.29x = 10,030.30
  5. Step 5: Solve for x
    x = 10,030.30/113.29
  6. Step 6: Final answer
    x = 88.53

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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.