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Finding the Fourth Proportional to 10.02, 15.06 and 7.77

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Solution

The fourth proportional to 10.02, 15.06 and 7.77 is: 11.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.02 : 15.06 = 7.77 : x
  2. Step 2: Convert to fraction form
    10.02/15.06 = 7.77/x
  3. Step 3: Cross multiply
    10.02x = 15.06 × 7.77
  4. Step 4: Simplify right side
    10.02x = 117.02
  5. Step 5: Solve for x
    x = 117.02/10.02
  6. Step 6: Final answer
    x = 11.68

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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.