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Finding the Fourth Proportional to 130.68, 180.16 and 110.93

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Solution

The fourth proportional to 130.68, 180.16 and 110.93 is: 152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.68 : 180.16 = 110.93 : x
  2. Step 2: Convert to fraction form
    130.68/180.16 = 110.93/x
  3. Step 3: Cross multiply
    130.68x = 180.16 × 110.93
  4. Step 4: Simplify right side
    130.68x = 19,985.15
  5. Step 5: Solve for x
    x = 19,985.15/130.68
  6. Step 6: Final answer
    x = 152.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.