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Finding the Fourth Proportional to 130.90, 196.35 and 76.02

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Solution

The fourth proportional to 130.90, 196.35 and 76.02 is: 114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.90 : 196.35 = 76.02 : x
  2. Step 2: Convert to fraction form
    130.90/196.35 = 76.02/x
  3. Step 3: Cross multiply
    130.90x = 196.35 × 76.02
  4. Step 4: Simplify right side
    130.90x = 14,925.17
  5. Step 5: Solve for x
    x = 14,925.17/130.90
  6. Step 6: Final answer
    x = 114.02

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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.