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Finding the Fourth Proportional to 56.98, 78.63 and 35.14

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Solution

The fourth proportional to 56.98, 78.63 and 35.14 is: 48.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.98 : 78.63 = 35.14 : x
  2. Step 2: Convert to fraction form
    56.98/78.63 = 35.14/x
  3. Step 3: Cross multiply
    56.98x = 78.63 × 35.14
  4. Step 4: Simplify right side
    56.98x = 2,763.06
  5. Step 5: Solve for x
    x = 2,763.06/56.98
  6. Step 6: Final answer
    x = 48.49

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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.