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Finding the Fourth Proportional to 56.98, 78.45 and 46.10

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Solution

The fourth proportional to 56.98, 78.45 and 46.10 is: 63.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.98 : 78.45 = 46.10 : x
  2. Step 2: Convert to fraction form
    56.98/78.45 = 46.10/x
  3. Step 3: Cross multiply
    56.98x = 78.45 × 46.10
  4. Step 4: Simplify right side
    56.98x = 3,616.55
  5. Step 5: Solve for x
    x = 3,616.55/56.98
  6. Step 6: Final answer
    x = 63.47

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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.