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Finding the Fourth Proportional to 51.51, 70.66 and 48.40

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Solution

The fourth proportional to 51.51, 70.66 and 48.40 is: 66.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.51 : 70.66 = 48.40 : x
  2. Step 2: Convert to fraction form
    51.51/70.66 = 48.40/x
  3. Step 3: Cross multiply
    51.51x = 70.66 × 48.40
  4. Step 4: Simplify right side
    51.51x = 3,419.94
  5. Step 5: Solve for x
    x = 3,419.94/51.51
  6. Step 6: Final answer
    x = 66.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.