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Finding the Fourth Proportional to 62.28, 92.88 and 56.16

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Solution

The fourth proportional to 62.28, 92.88 and 56.16 is: 83.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.28 : 92.88 = 56.16 : x
  2. Step 2: Convert to fraction form
    62.28/92.88 = 56.16/x
  3. Step 3: Cross multiply
    62.28x = 92.88 × 56.16
  4. Step 4: Simplify right side
    62.28x = 5,216.14
  5. Step 5: Solve for x
    x = 5,216.14/62.28
  6. Step 6: Final answer
    x = 83.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.