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Finding the Fourth Proportional to 56.38, 77.88 and 56.00

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Solution

The fourth proportional to 56.38, 77.88 and 56.00 is: 77.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.38 : 77.88 = 56.00 : x
  2. Step 2: Convert to fraction form
    56.38/77.88 = 56.00/x
  3. Step 3: Cross multiply
    56.38x = 77.88 × 56.00
  4. Step 4: Simplify right side
    56.38x = 4,360.89
  5. Step 5: Solve for x
    x = 4,360.89/56.38
  6. Step 6: Final answer
    x = 77.35

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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.