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Finding the Fourth Proportional to 66.48, 91.64 and 56.64

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Solution

The fourth proportional to 66.48, 91.64 and 56.64 is: 78.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.48 : 91.64 = 56.64 : x
  2. Step 2: Convert to fraction form
    66.48/91.64 = 56.64/x
  3. Step 3: Cross multiply
    66.48x = 91.64 × 56.64
  4. Step 4: Simplify right side
    66.48x = 5,190.49
  5. Step 5: Solve for x
    x = 5,190.49/66.48
  6. Step 6: Final answer
    x = 78.08

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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.