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Finding the Fourth Proportional to 76.06, 114.08 and 64.02

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Solution

The fourth proportional to 76.06, 114.08 and 64.02 is: 96.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.06 : 114.08 = 64.02 : x
  2. Step 2: Convert to fraction form
    76.06/114.08 = 64.02/x
  3. Step 3: Cross multiply
    76.06x = 114.08 × 64.02
  4. Step 4: Simplify right side
    76.06x = 7,303.40
  5. Step 5: Solve for x
    x = 7,303.40/76.06
  6. Step 6: Final answer
    x = 96.02

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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.