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Finding the Fourth Proportional to 66.14, 91.06 and 56.90

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Solution

The fourth proportional to 66.14, 91.06 and 56.90 is: 78.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.14 : 91.06 = 56.90 : x
  2. Step 2: Convert to fraction form
    66.14/91.06 = 56.90/x
  3. Step 3: Cross multiply
    66.14x = 91.06 × 56.90
  4. Step 4: Simplify right side
    66.14x = 5,181.31
  5. Step 5: Solve for x
    x = 5,181.31/66.14
  6. Step 6: Final answer
    x = 78.34

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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.