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Finding the Fourth Proportional to 73.24, 101.06 and 42.15

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Solution

The fourth proportional to 73.24, 101.06 and 42.15 is: 58.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.24 : 101.06 = 42.15 : x
  2. Step 2: Convert to fraction form
    73.24/101.06 = 42.15/x
  3. Step 3: Cross multiply
    73.24x = 101.06 × 42.15
  4. Step 4: Simplify right side
    73.24x = 4,259.17
  5. Step 5: Solve for x
    x = 4,259.17/73.24
  6. Step 6: Final answer
    x = 58.16

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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.