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Finding the Fourth Proportional to 130.02, 178.98 and 111.24

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Solution

The fourth proportional to 130.02, 178.98 and 111.24 is: 153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.02 : 178.98 = 111.24 : x
  2. Step 2: Convert to fraction form
    130.02/178.98 = 111.24/x
  3. Step 3: Cross multiply
    130.02x = 178.98 × 111.24
  4. Step 4: Simplify right side
    130.02x = 19,909.74
  5. Step 5: Solve for x
    x = 19,909.74/130.02
  6. Step 6: Final answer
    x = 153.13

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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.