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Finding the Fourth Proportional to 56.08, 77.32 and 45.15

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Solution

The fourth proportional to 56.08, 77.32 and 45.15 is: 62.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.08 : 77.32 = 45.15 : x
  2. Step 2: Convert to fraction form
    56.08/77.32 = 45.15/x
  3. Step 3: Cross multiply
    56.08x = 77.32 × 45.15
  4. Step 4: Simplify right side
    56.08x = 3,491.00
  5. Step 5: Solve for x
    x = 3,491.00/56.08
  6. Step 6: Final answer
    x = 62.25

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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.