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Finding the Fourth Proportional to 56.59, 78.23 and 45.65

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Solution

The fourth proportional to 56.59, 78.23 and 45.65 is: 63.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.59 : 78.23 = 45.65 : x
  2. Step 2: Convert to fraction form
    56.59/78.23 = 45.65/x
  3. Step 3: Cross multiply
    56.59x = 78.23 × 45.65
  4. Step 4: Simplify right side
    56.59x = 3,571.17
  5. Step 5: Solve for x
    x = 3,571.17/56.59
  6. Step 6: Final answer
    x = 63.11

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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.