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Finding the Fourth Proportional to 52.64, 79.27 and 42.51

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Solution

The fourth proportional to 52.64, 79.27 and 42.51 is: 64.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.64 : 79.27 = 42.51 : x
  2. Step 2: Convert to fraction form
    52.64/79.27 = 42.51/x
  3. Step 3: Cross multiply
    52.64x = 79.27 × 42.51
  4. Step 4: Simplify right side
    52.64x = 3,369.77
  5. Step 5: Solve for x
    x = 3,369.77/52.64
  6. Step 6: Final answer
    x = 64.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.