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Finding the Fourth Proportional to 102.10, 154.18 and 101.20

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Solution

The fourth proportional to 102.10, 154.18 and 101.20 is: 152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.10 : 154.18 = 101.20 : x
  2. Step 2: Convert to fraction form
    102.10/154.18 = 101.20/x
  3. Step 3: Cross multiply
    102.10x = 154.18 × 101.20
  4. Step 4: Simplify right side
    102.10x = 15,603.02
  5. Step 5: Solve for x
    x = 15,603.02/102.10
  6. Step 6: Final answer
    x = 152.82

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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.