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Finding the Fourth Proportional to 56.52, 78.06 and 46.80

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Solution

The fourth proportional to 56.52, 78.06 and 46.80 is: 64.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.52 : 78.06 = 46.80 : x
  2. Step 2: Convert to fraction form
    56.52/78.06 = 46.80/x
  3. Step 3: Cross multiply
    56.52x = 78.06 × 46.80
  4. Step 4: Simplify right side
    56.52x = 3,653.21
  5. Step 5: Solve for x
    x = 3,653.21/56.52
  6. Step 6: Final answer
    x = 64.64

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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.