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Finding the Fourth Proportional to 164.58, 227.14 and 99.10

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Solution

The fourth proportional to 164.58, 227.14 and 99.10 is: 136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.58 : 227.14 = 99.10 : x
  2. Step 2: Convert to fraction form
    164.58/227.14 = 99.10/x
  3. Step 3: Cross multiply
    164.58x = 227.14 × 99.10
  4. Step 4: Simplify right side
    164.58x = 22,509.57
  5. Step 5: Solve for x
    x = 22,509.57/164.58
  6. Step 6: Final answer
    x = 136.77

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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.