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Finding the Fourth Proportional to 56.76, 84.96 and 52.50

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Solution

The fourth proportional to 56.76, 84.96 and 52.50 is: 78.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.76 : 84.96 = 52.50 : x
  2. Step 2: Convert to fraction form
    56.76/84.96 = 52.50/x
  3. Step 3: Cross multiply
    56.76x = 84.96 × 52.50
  4. Step 4: Simplify right side
    56.76x = 4,460.40
  5. Step 5: Solve for x
    x = 4,460.40/56.76
  6. Step 6: Final answer
    x = 78.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.