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Finding the Fourth Proportional to 100.10, 140.50 and 100.10

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Solution

The fourth proportional to 100.10, 140.50 and 100.10 is: 140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.10 : 140.50 = 100.10 : x
  2. Step 2: Convert to fraction form
    100.10/140.50 = 100.10/x
  3. Step 3: Cross multiply
    100.10x = 140.50 × 100.10
  4. Step 4: Simplify right side
    100.10x = 14,064.05
  5. Step 5: Solve for x
    x = 14,064.05/100.10
  6. Step 6: Final answer
    x = 140.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.