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Finding the Fourth Proportional to 100.77, 152.07 and 100.77

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Solution

The fourth proportional to 100.77, 152.07 and 100.77 is: 152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.77 : 152.07 = 100.77 : x
  2. Step 2: Convert to fraction form
    100.77/152.07 = 100.77/x
  3. Step 3: Cross multiply
    100.77x = 152.07 × 100.77
  4. Step 4: Simplify right side
    100.77x = 15,324.09
  5. Step 5: Solve for x
    x = 15,324.09/100.77
  6. Step 6: Final answer
    x = 152.07

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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.