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Finding the Fourth Proportional to 56.57, 78.10 and 34.76

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Solution

The fourth proportional to 56.57, 78.10 and 34.76 is: 48.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.57 : 78.10 = 34.76 : x
  2. Step 2: Convert to fraction form
    56.57/78.10 = 34.76/x
  3. Step 3: Cross multiply
    56.57x = 78.10 × 34.76
  4. Step 4: Simplify right side
    56.57x = 2,714.86
  5. Step 5: Solve for x
    x = 2,714.86/56.57
  6. Step 6: Final answer
    x = 48.00

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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.