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Finding the Fourth Proportional to 78.02, 117.03 and 52.51

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Solution

The fourth proportional to 78.02, 117.03 and 52.51 is: 78.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.02 : 117.03 = 52.51 : x
  2. Step 2: Convert to fraction form
    78.02/117.03 = 52.51/x
  3. Step 3: Cross multiply
    78.02x = 117.03 × 52.51
  4. Step 4: Simplify right side
    78.02x = 6,145.25
  5. Step 5: Solve for x
    x = 6,145.25/78.02
  6. Step 6: Final answer
    x = 78.77

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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.