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Finding the Fourth Proportional to 66.14, 99.10 and 45.78

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Solution

The fourth proportional to 66.14, 99.10 and 45.78 is: 68.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.14 : 99.10 = 45.78 : x
  2. Step 2: Convert to fraction form
    66.14/99.10 = 45.78/x
  3. Step 3: Cross multiply
    66.14x = 99.10 × 45.78
  4. Step 4: Simplify right side
    66.14x = 4,536.07
  5. Step 5: Solve for x
    x = 4,536.07/66.14
  6. Step 6: Final answer
    x = 68.58

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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.