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Finding the Fourth Proportional to 113.64, 156.87 and 72.18

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Solution

The fourth proportional to 113.64, 156.87 and 72.18 is: 99.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.64 : 156.87 = 72.18 : x
  2. Step 2: Convert to fraction form
    113.64/156.87 = 72.18/x
  3. Step 3: Cross multiply
    113.64x = 156.87 × 72.18
  4. Step 4: Simplify right side
    113.64x = 11,322.88
  5. Step 5: Solve for x
    x = 11,322.88/113.64
  6. Step 6: Final answer
    x = 99.64

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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.