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Finding the Fourth Proportional to 52.42, 78.66 and 51.34

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Solution

The fourth proportional to 52.42, 78.66 and 51.34 is: 77.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.42 : 78.66 = 51.34 : x
  2. Step 2: Convert to fraction form
    52.42/78.66 = 51.34/x
  3. Step 3: Cross multiply
    52.42x = 78.66 × 51.34
  4. Step 4: Simplify right side
    52.42x = 4,038.40
  5. Step 5: Solve for x
    x = 4,038.40/52.42
  6. Step 6: Final answer
    x = 77.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.