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Finding the Fourth Proportional to 66.17, 99.14 and 30.05

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Solution

The fourth proportional to 66.17, 99.14 and 30.05 is: 45.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.17 : 99.14 = 30.05 : x
  2. Step 2: Convert to fraction form
    66.17/99.14 = 30.05/x
  3. Step 3: Cross multiply
    66.17x = 99.14 × 30.05
  4. Step 4: Simplify right side
    66.17x = 2,978.51
  5. Step 5: Solve for x
    x = 2,978.51/66.17
  6. Step 6: Final answer
    x = 45.02

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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.