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Finding the Fourth Proportional to 56.93, 78.50 and 51.14

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Solution

The fourth proportional to 56.93, 78.50 and 51.14 is: 70.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.93 : 78.50 = 51.14 : x
  2. Step 2: Convert to fraction form
    56.93/78.50 = 51.14/x
  3. Step 3: Cross multiply
    56.93x = 78.50 × 51.14
  4. Step 4: Simplify right side
    56.93x = 4,014.81
  5. Step 5: Solve for x
    x = 4,014.81/56.93
  6. Step 6: Final answer
    x = 70.53

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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.