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Finding the Fourth Proportional to 113.68, 156.86 and 64.56

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Solution

The fourth proportional to 113.68, 156.86 and 64.56 is: 89.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.68 : 156.86 = 64.56 : x
  2. Step 2: Convert to fraction form
    113.68/156.86 = 64.56/x
  3. Step 3: Cross multiply
    113.68x = 156.86 × 64.56
  4. Step 4: Simplify right side
    113.68x = 10,126.88
  5. Step 5: Solve for x
    x = 10,126.88/113.68
  6. Step 6: Final answer
    x = 89.08

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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.