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Finding the Fourth Proportional to 95.02, 130.55 and 75.58

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Solution

The fourth proportional to 95.02, 130.55 and 75.58 is: 103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.02 : 130.55 = 75.58 : x
  2. Step 2: Convert to fraction form
    95.02/130.55 = 75.58/x
  3. Step 3: Cross multiply
    95.02x = 130.55 × 75.58
  4. Step 4: Simplify right side
    95.02x = 9,866.51
  5. Step 5: Solve for x
    x = 9,866.51/95.02
  6. Step 6: Final answer
    x = 103.84

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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.