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Finding the Fourth Proportional to 130.56, 178.80 and 130.32

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Solution

The fourth proportional to 130.56, 178.80 and 130.32 is: 178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.56 : 178.80 = 130.32 : x
  2. Step 2: Convert to fraction form
    130.56/178.80 = 130.32/x
  3. Step 3: Cross multiply
    130.56x = 178.80 × 130.32
  4. Step 4: Simplify right side
    130.56x = 23,301.22
  5. Step 5: Solve for x
    x = 23,301.22/130.56
  6. Step 6: Final answer
    x = 178.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.