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Finding the Fourth Proportional to 104.77, 156.13 and 101.64

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Solution

The fourth proportional to 104.77, 156.13 and 101.64 is: 151.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.77 : 156.13 = 101.64 : x
  2. Step 2: Convert to fraction form
    104.77/156.13 = 101.64/x
  3. Step 3: Cross multiply
    104.77x = 156.13 × 101.64
  4. Step 4: Simplify right side
    104.77x = 15,869.44
  5. Step 5: Solve for x
    x = 15,869.44/104.77
  6. Step 6: Final answer
    x = 151.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.