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Finding the Fourth Proportional to 56.24, 84.00 and 53.12

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Solution

The fourth proportional to 56.24, 84.00 and 53.12 is: 79.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.24 : 84.00 = 53.12 : x
  2. Step 2: Convert to fraction form
    56.24/84.00 = 53.12/x
  3. Step 3: Cross multiply
    56.24x = 84.00 × 53.12
  4. Step 4: Simplify right side
    56.24x = 4,461.81
  5. Step 5: Solve for x
    x = 4,461.81/56.24
  6. Step 6: Final answer
    x = 79.34

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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.