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Finding the Fourth Proportional to 66.52, 91.80 and 40.64

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Solution

The fourth proportional to 66.52, 91.80 and 40.64 is: 56.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.52 : 91.80 = 40.64 : x
  2. Step 2: Convert to fraction form
    66.52/91.80 = 40.64/x
  3. Step 3: Cross multiply
    66.52x = 91.80 × 40.64
  4. Step 4: Simplify right side
    66.52x = 3,730.75
  5. Step 5: Solve for x
    x = 3,730.75/66.52
  6. Step 6: Final answer
    x = 56.08

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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.