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Finding the Fourth Proportional to 130.51, 180.35 and 99.40

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Solution

The fourth proportional to 130.51, 180.35 and 99.40 is: 137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.51 : 180.35 = 99.40 : x
  2. Step 2: Convert to fraction form
    130.51/180.35 = 99.40/x
  3. Step 3: Cross multiply
    130.51x = 180.35 × 99.40
  4. Step 4: Simplify right side
    130.51x = 17,926.79
  5. Step 5: Solve for x
    x = 17,926.79/130.51
  6. Step 6: Final answer
    x = 137.36

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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.