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Finding the Fourth Proportional to 215.06, 322.47 and 101.06

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Solution

The fourth proportional to 215.06, 322.47 and 101.06 is: 151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.06 : 322.47 = 101.06 : x
  2. Step 2: Convert to fraction form
    215.06/322.47 = 101.06/x
  3. Step 3: Cross multiply
    215.06x = 322.47 × 101.06
  4. Step 4: Simplify right side
    215.06x = 32,588.82
  5. Step 5: Solve for x
    x = 32,588.82/215.06
  6. Step 6: Final answer
    x = 151.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.