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Finding the Fourth Proportional to 66.84, 92.34 and 56.46

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Solution

The fourth proportional to 66.84, 92.34 and 56.46 is: 78.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.84 : 92.34 = 56.46 : x
  2. Step 2: Convert to fraction form
    66.84/92.34 = 56.46/x
  3. Step 3: Cross multiply
    66.84x = 92.34 × 56.46
  4. Step 4: Simplify right side
    66.84x = 5,213.52
  5. Step 5: Solve for x
    x = 5,213.52/66.84
  6. Step 6: Final answer
    x = 78.00

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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.