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Finding the Fourth Proportional to 145.59, 216.95 and 135.06

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Solution

The fourth proportional to 145.59, 216.95 and 135.06 is: 201.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.59 : 216.95 = 135.06 : x
  2. Step 2: Convert to fraction form
    145.59/216.95 = 135.06/x
  3. Step 3: Cross multiply
    145.59x = 216.95 × 135.06
  4. Step 4: Simplify right side
    145.59x = 29,301.27
  5. Step 5: Solve for x
    x = 29,301.27/145.59
  6. Step 6: Final answer
    x = 201.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.